54680800 has 36 divisors (see below), whose sum is σ = 133491456. Its totient is φ = 21872000.

The previous prime is 54680797. The next prime is 54680809. The reversal of 54680800 is 808645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54680809) by changing a digit.

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, 33376 + ... + 34975.

It is an arithmetic number, because the mean of its divisors is an integer number (3708096).

Almost surely, 2^54680800 is an apocalyptic number.

54680800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54680800 is an abundant number, since it is smaller than the sum of its proper divisors (78810656).

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

54680800 is a wasteful number, since it uses less digits than its factorization.

54680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68371 (or 68358 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 54680800 is about 7394.6467123183. The cubic root of 54680800 is about 379.5581197877.

The spelling of 54680800 in words is "fifty-four million, six hundred eighty thousand, eight hundred".