561957088 has 144 divisors (see below), whose sum is σ = 1450649088. Its totient is φ = 211680000.

The previous prime is 561957059. The next prime is 561957107. The reversal of 561957088 is 880759165.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534163 + ... + 535213.

It is an arithmetic number, because the mean of its divisors is an integer number (10073952).

Almost surely, 2^561957088 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 561957088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725324544).

561957088 is an abundant number, since it is smaller than the sum of its proper divisors (888692000).

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

561957088 is a wasteful number, since it uses less digits than its factorization.

561957088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 49.

The square root of 561957088 is about 23705.6340982476. The cubic root of 561957088 is about 825.2161480786.

The spelling of 561957088 in words is "five hundred sixty-one million, nine hundred fifty-seven thousand, eighty-eight".