56903600 has 120 divisors (see below), whose sum is σ = 152406912. Its totient is φ = 20275200.

The previous prime is 56903599. The next prime is 56903603. The reversal of 56903600 is 630965.

It is not an unprimeable number, because it can be changed into a prime (56903603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161024 + ... + 161376.

Almost surely, 2^56903600 is an apocalyptic number.

56903600 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 56903600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76203456).

56903600 is an abundant number, since it is smaller than the sum of its proper divisors (95503312).

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

56903600 is a wasteful number, since it uses less digits than its factorization.

56903600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 56903600 is about 7543.4474877207. The cubic root of 56903600 is about 384.6330342670.

The spelling of 56903600 in words is "fifty-six million, nine hundred three thousand, six hundred".