54679200 has 72 divisors (see below), whose sum is σ = 177988608. Its totient is φ = 14580480.

The previous prime is 54679147. The next prime is 54679201. The reversal of 54679200 is 297645.

It is not an unprimeable number, because it can be changed into a prime (54679201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8992 + ... + 13791.

It is an arithmetic number, because the mean of its divisors is an integer number (2472064).

Almost surely, 2^54679200 is an apocalyptic number.

54679200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54679200 is an abundant number, since it is smaller than the sum of its proper divisors (123309408).

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

54679200 is a wasteful number, since it uses less digits than its factorization.

54679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22806 (or 22793 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 54679200 is about 7394.5385251549. The cubic root of 54679200 is about 379.5544177026.

The spelling of 54679200 in words is "fifty-four million, six hundred seventy-nine thousand, two hundred".