54836800 has 42 divisors (see below), whose sum is σ = 134936738. Its totient is φ = 21934080.

The previous prime is 54836741. The next prime is 54836833. The reversal of 54836800 is 863845.

It can be written as a sum of positive squares in 3 ways, for example, as 12222016 + 42614784 = 3496^2 + 6528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15537 + ... + 18736.

Almost surely, 2^54836800 is an apocalyptic number.

54836800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54836800 is an abundant number, since it is smaller than the sum of its proper divisors (80099938).

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

54836800 is a wasteful number, since it uses less digits than its factorization.

54836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34295 (or 34280 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 54836800 is about 7405.1873710258. The cubic root of 54836800 is about 379.9187268478.

The spelling of 54836800 in words is "fifty-four million, eight hundred thirty-six thousand, eight hundred".