561875160 has 512 divisors, whose sum is σ = 2301696000. Its totient is φ = 108380160.

The previous prime is 561875141. The next prime is 561875161. The reversal of 561875160 is 61578165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561875161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7696884 + ... + 7696956.

It is an arithmetic number, because the mean of its divisors is an integer number (4495500).

Almost surely, 2^561875160 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 561875160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150848000).

561875160 is an abundant number, since it is smaller than the sum of its proper divisors (1739820840).

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

561875160 is a wasteful number, since it uses less digits than its factorization.

561875160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 561875160 is about 23703.9060072386. The cubic root of 561875160 is about 825.1760432403.

The spelling of 561875160 in words is "five hundred sixty-one million, eight hundred seventy-five thousand, one hundred sixty".