56095624 has 32 divisors (see below), whose sum is σ = 115418520. Its totient is φ = 25399296.

The previous prime is 56095621. The next prime is 56095639. The reversal of 56095624 is 42659065.

56095624 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 47858724 + 8236900 = 6918^2 + 2870^2 .

It is not an unprimeable number, because it can be changed into a prime (56095621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 10600.

Almost surely, 2^56095624 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 56095624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57709260).

56095624 is an abundant number, since it is smaller than the sum of its proper divisors (59322896).

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

56095624 is a wasteful number, since it uses less digits than its factorization.

56095624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10249 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 56095624 is about 7489.7011956419. The cubic root of 56095624 is about 382.8038771647.

The spelling of 56095624 in words is "fifty-six million, ninety-five thousand, six hundred twenty-four".