561970584 has 96 divisors (see below), whose sum is σ = 1799460000. Its totient is φ = 155022336.

The previous prime is 561970579. The next prime is 561970601. The reversal of 561970584 is 485079165.

561970584 is a `hidden beast` number, since 5 + 61 + 9 + 7 + 0 + 584 = 666.

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, 4609 + ... + 33840.

It is an arithmetic number, because the mean of its divisors is an integer number (18744375).

Almost surely, 2^561970584 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 561970584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899730000).

561970584 is an abundant number, since it is smaller than the sum of its proper divisors (1237489416).

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

561970584 is a wasteful number, since it uses less digits than its factorization.

561970584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38497 (or 38490 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 561970584 is about 23705.9187546064. The cubic root of 561970584 is about 825.2227541749. Note that the first 3 decimals are identical.

The spelling of 561970584 in words is "five hundred sixty-one million, nine hundred seventy thousand, five hundred eighty-four".