56355264 has 140 divisors (see below), whose sum is σ = 191042544. Its totient is φ = 16091136.

The previous prime is 56355259. The next prime is 56355293. The reversal of 56355264 is 46255365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35512 + ... + 37064.

Almost surely, 2^56355264 is an apocalyptic number.

56355264 is a gapful number since it is divisible by the number (54) 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 56355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95521272).

56355264 is an abundant number, since it is smaller than the sum of its proper divisors (134687280).

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

56355264 is a wasteful number, since it uses less digits than its factorization.

56355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1565 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 56355264 is about 7507.0143199544. The cubic root of 56355264 is about 383.3935740656.

The spelling of 56355264 in words is "fifty-six million, three hundred fifty-five thousand, two hundred sixty-four".