54032864 has 24 divisors (see below), whose sum is σ = 108387720. Its totient is φ = 26505856.

The previous prime is 54032861. The next prime is 54032929. The reversal of 54032864 is 46823045.

54032864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 54032864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54032861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14234 + ... + 17625.

It is an arithmetic number, because the mean of its divisors is an integer number (4516155).

Almost surely, 2^54032864 is an apocalyptic number.

It is an amenable number.

54032864 is an abundant number, since it is smaller than the sum of its proper divisors (54354856).

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

54032864 is a wasteful number, since it uses less digits than its factorization.

54032864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31922 (or 31914 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 54032864 is about 7350.7050002024. The cubic root of 54032864 is about 378.0529772803.

The spelling of 54032864 in words is "fifty-four million, thirty-two thousand, eight hundred sixty-four".