54972864 has 112 divisors (see below), whose sum is σ = 167335200. Its totient is φ = 17676288.

The previous prime is 54972857. The next prime is 54972881. The reversal of 54972864 is 46827945.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49564 + ... + 50660.

Almost surely, 2^54972864 is an apocalyptic number.

54972864 is a gapful number since it is divisible by the number (54) 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 54972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83667600).

54972864 is an abundant number, since it is smaller than the sum of its proper divisors (112362336).

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

54972864 is a wasteful number, since it uses less digits than its factorization.

54972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1131 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 54972864 is about 7414.3687526316. The cubic root of 54972864 is about 380.2326922007.

The spelling of 54972864 in words is "fifty-four million, nine hundred seventy-two thousand, eight hundred sixty-four".