561816 has 72 divisors (see below), whose sum is σ = 1676220. Its totient is φ = 176256.

The previous prime is 561809. The next prime is 561829. The reversal of 561816 is 618165.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

561816 is nontrivially palindromic in base 16.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number *n* which added to its sum of digits gives 561816.

It is a congruent number.

It is an unprimeable number.

561816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33040 + ... + 33056.

2^{561816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838110).

561816 is an abundant number, since it is smaller than the sum of its proper divisors (1114404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

561816 is a wasteful number, since it uses less digits than its factorization.

561816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 22 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 561816 is about 749.5438612917. The cubic root of 561816 is about 82.5147081215.

The spelling of 561816 in words is "five hundred sixty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 289 306 324 408 459 486 578 612 648 867 918 972 1156 1224 1377 1734 1836 1944 2312 2601 2754 3468 3672 4131 5202 5508 6936 7803 8262 10404 11016 15606 16524 20808 23409 31212 33048 46818 62424 70227 93636 140454 187272 280908 561816

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