56035600 has 60 divisors (see below), whose sum is σ = 138999040. Its totient is φ = 21686400.

The previous prime is 56035597. The next prime is 56035619. The reversal of 56035600 is 653065.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10141 + ... + 14659.

Almost surely, 2^56035600 is an apocalyptic number.

56035600 is a gapful number since it is divisible by the number (50) 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 56035600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69499520).

56035600 is an abundant number, since it is smaller than the sum of its proper divisors (82963440).

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

56035600 is a wasteful number, since it uses less digits than its factorization.

56035600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 56035600 is about 7485.6930206895. The cubic root of 56035600 is about 382.6672912264.

Adding to 56035600 its reverse (653065), we get a palindrome (56688665).

The spelling of 56035600 in words is "fifty-six million, thirty-five thousand, six hundred".