561406032 has 320 divisors, whose sum is σ = 1881784320. Its totient is φ = 158630400.

The previous prime is 561406031. The next prime is 561406033. The reversal of 561406032 is 230604165.

561406032 is a `hidden beast` number, since 56 + 1 + 4 + 0 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (561406031) and next prime (561406033).

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

It is a junction number, because it is equal to n+sod(n) for n = 561405987 and 561406005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561406031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5450493 + ... + 5450595.

It is an arithmetic number, because the mean of its divisors is an integer number (5880576).

Almost surely, 2^561406032 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 561406032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940892160).

561406032 is an abundant number, since it is smaller than the sum of its proper divisors (1320378288).

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

561406032 is a wasteful number, since it uses less digits than its factorization.

561406032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 561406032 is about 23694.0083565445. The cubic root of 561406032 is about 824.9463237805.

The spelling of 561406032 in words is "five hundred sixty-one million, four hundred six thousand, thirty-two".