56264600 has 48 divisors (see below), whose sum is σ = 149506800. Its totient is φ = 19290240.

The previous prime is 56264591. The next prime is 56264603. The reversal of 56264600 is 646265.

56264600 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 (56264603) 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 11 ways as a sum of consecutive naturals, for example, 18695 + ... + 21494.

It is an arithmetic number, because the mean of its divisors is an integer number (3114725).

Almost surely, 2^56264600 is an apocalyptic number.

56264600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56264600 is an abundant number, since it is smaller than the sum of its proper divisors (93242200).

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

56264600 is a wasteful number, since it uses less digits than its factorization.

56264600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40212 (or 40203 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 56264600 is about 7500.9732701830. The cubic root of 56264600 is about 383.1878633075.

The spelling of 56264600 in words is "fifty-six million, two hundred sixty-four thousand, six hundred".