54188064 has 72 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 15481728.

The previous prime is 54188063. The next prime is 54188077. The reversal of 54188064 is 46088145.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54188063) 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 11 ways as a sum of consecutive naturals, for example, 11424 + ... + 15455.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^54188064 is an apocalyptic number.

It is an amenable number.

54188064 is an abundant number, since it is smaller than the sum of its proper divisors (121929696).

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

54188064 is a wasteful number, since it uses less digits than its factorization.

54188064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26902 (or 26891 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 54188064 is about 7361.2542409565. The cubic root of 54188064 is about 378.4145950714.

The spelling of 54188064 in words is "fifty-four million, one hundred eighty-eight thousand, sixty-four".