561327624 has 256 divisors, whose sum is σ = 1941408000. Its totient is φ = 147640320.

The previous prime is 561327623. The next prime is 561327661. The reversal of 561327624 is 426723165.

561327624 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 27 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (561327623) 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, 524562 + ... + 525630.

It is an arithmetic number, because the mean of its divisors is an integer number (7583625).

Almost surely, 2^561327624 is an apocalyptic number.

561327624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561327624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970704000).

561327624 is an abundant number, since it is smaller than the sum of its proper divisors (1380080376).

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

561327624 is a wasteful number, since it uses less digits than its factorization.

561327624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 561327624 is about 23692.3537032520. The cubic root of 561327624 is about 824.9079169952.

The spelling of 561327624 in words is "five hundred sixty-one million, three hundred twenty-seven thousand, six hundred twenty-four".