54536800 has 36 divisors (see below), whose sum is σ = 133139916. Its totient is φ = 21814400.

The previous prime is 54536777. The next prime is 54536809. The reversal of 54536800 is 863545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54536809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33286 + ... + 34885.

It is an arithmetic number, because the mean of its divisors is an integer number (3698331).

Almost surely, 2^54536800 is an apocalyptic number.

54536800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54536800 is an abundant number, since it is smaller than the sum of its proper divisors (78603116).

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

54536800 is a wasteful number, since it uses less digits than its factorization.

54536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68191 (or 68178 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 54536800 is about 7384.9035200197. The cubic root of 54536800 is about 379.2246424786.

The spelling of 54536800 in words is "fifty-four million, five hundred thirty-six thousand, eight hundred".