54385584 has 160 divisors (see below), whose sum is σ = 166489344. Its totient is φ = 15114240.

The previous prime is 54385561. The next prime is 54385609. The reversal of 54385584 is 48558345.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655207 + ... + 655289.

Almost surely, 2^54385584 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 54385584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83244672).

54385584 is an abundant number, since it is smaller than the sum of its proper divisors (112103760).

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

54385584 is a wasteful number, since it uses less digits than its factorization.

54385584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The square root of 54385584 is about 7374.6582293690. The cubic root of 54385584 is about 378.8738217730.

The spelling of 54385584 in words is "fifty-four million, three hundred eighty-five thousand, five hundred eighty-four".