54585792 has 112 divisors (see below), whose sum is σ = 165811200. Its totient is φ = 17591040.

The previous prime is 54585781. The next prime is 54585809. The reversal of 54585792 is 29758545.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53059 + ... + 54077.

Almost surely, 2^54585792 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 54585792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82905600).

54585792 is an abundant number, since it is smaller than the sum of its proper divisors (111225408).

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

54585792 is a wasteful number, since it uses less digits than its factorization.

54585792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 54585792 is about 7388.2198126477. The cubic root of 54585792 is about 379.3381646821.

The spelling of 54585792 in words is "fifty-four million, five hundred eighty-five thousand, seven hundred ninety-two".