56393600 has 48 divisors (see below), whose sum is σ = 139317720. Its totient is φ = 22556160.

The previous prime is 56393591. The next prime is 56393611. The reversal of 56393600 is 639365.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5612 + ... + 12011.

Almost surely, 2^56393600 is an apocalyptic number.

56393600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56393600 is an abundant number, since it is smaller than the sum of its proper divisors (82924120).

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

56393600 is a wasteful number, since it uses less digits than its factorization.

56393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17647 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 56393600 is about 7509.5672312058. The cubic root of 56393600 is about 383.4804896053.

The spelling of 56393600 in words is "fifty-six million, three hundred ninety-three thousand, six hundred".