55264800 has 72 divisors (see below), whose sum is σ = 179894736. Its totient is φ = 14736640.

The previous prime is 55264793. The next prime is 55264823. The reversal of 55264800 is 846255.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9114 + ... + 13913.

It is an arithmetic number, because the mean of its divisors is an integer number (2498538).

Almost surely, 2^55264800 is an apocalyptic number.

55264800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55264800 is an abundant number, since it is smaller than the sum of its proper divisors (124629936).

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

55264800 is a wasteful number, since it uses less digits than its factorization.

55264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23050 (or 23037 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 55264800 is about 7434.0298627326. The cubic root of 55264800 is about 380.9045854719.

The spelling of 55264800 in words is "fifty-five million, two hundred sixty-four thousand, eight hundred".