56316624 has 80 divisors (see below), whose sum is σ = 179071872. Its totient is φ = 14851584.

The previous prime is 56316607. The next prime is 56316629. The reversal of 56316624 is 42661365.

56316624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56316629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2079 + ... + 10814.

Almost surely, 2^56316624 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 56316624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89535936).

56316624 is an abundant number, since it is smaller than the sum of its proper divisors (122755248).

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

56316624 is a wasteful number, since it uses less digits than its factorization.

56316624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12924 (or 12918 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 56316624 is about 7504.4402855909. The cubic root of 56316624 is about 383.3059293999.

Adding to 56316624 its reverse (42661365), we get a palindrome (98977989).

It can be divided in two parts, 56316 and 624, that multiplied together give a square (35141184 = 5928²).

The spelling of 56316624 in words is "fifty-six million, three hundred sixteen thousand, six hundred twenty-four".