54164160 has 112 divisors (see below), whose sum is σ = 191109600. Its totient is φ = 14441472.

The previous prime is 54164137. The next prime is 54164191. The reversal of 54164160 is 6146145.

54164160 is a `hidden beast` number, since 541 + 64 + 1 + 60 = 666.

54164160 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 (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5506 + ... + 11774.

Almost surely, 2^54164160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95554800).

54164160 is an abundant number, since it is smaller than the sum of its proper divisors (136945440).

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

54164160 is a wasteful number, since it uses less digits than its factorization.

54164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54164160 is about 7359.6304255037. The cubic root of 54164160 is about 378.3589434989.

The spelling of 54164160 in words is "fifty-four million, one hundred sixty-four thousand, one hundred sixty".