54046160 has 80 divisors (see below), whose sum is σ = 145157376. Its totient is φ = 18330624.

The previous prime is 54046147. The next prime is 54046177. The reversal of 54046160 is 6164045.

It is a happy number.

54046160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 57212 + ... + 58148.

Almost surely, 2^54046160 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 54046160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72578688).

54046160 is an abundant number, since it is smaller than the sum of its proper divisors (91111216).

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

54046160 is a wasteful number, since it uses less digits than its factorization.

54046160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 54046160 is about 7351.6093476191. The cubic root of 54046160 is about 378.0839842131.

The spelling of 54046160 in words is "fifty-four million, forty-six thousand, one hundred sixty".