55734800 has 120 divisors (see below), whose sum is σ = 149454720. Its totient is φ = 19801600.

The previous prime is 55734799. The next prime is 55734841. The reversal of 55734800 is 843755.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233081 + ... + 233319.

It is an arithmetic number, because the mean of its divisors is an integer number (1245456).

Almost surely, 2^55734800 is an apocalyptic number.

55734800 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 55734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

55734800 is an abundant number, since it is smaller than the sum of its proper divisors (93719920).

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

55734800 is a wasteful number, since it uses less digits than its factorization.

55734800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 55734800 is about 7465.5743248594. The cubic root of 55734800 is about 381.9813409743.

The spelling of 55734800 in words is "fifty-five million, seven hundred thirty-four thousand, eight hundred".