561224160 has 384 divisors, whose sum is σ = 2286627840. Its totient is φ = 125908992.

The previous prime is 561224123. The next prime is 561224161. The reversal of 561224160 is 61422165.

561224160 is a `hidden beast` number, since 5 + 612 + 2 + 41 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561224161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025942 + ... + 2026218.

It is an arithmetic number, because the mean of its divisors is an integer number (5954760).

Almost surely, 2^561224160 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 561224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143313920).

561224160 is an abundant number, since it is smaller than the sum of its proper divisors (1725403680).

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

561224160 is a wasteful number, since it uses less digits than its factorization.

561224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 561224160 is about 23690.1701133614. The cubic root of 561224160 is about 824.8572314933.

The spelling of 561224160 in words is "five hundred sixty-one million, two hundred twenty-four thousand, one hundred sixty".