54859584 has 112 divisors (see below), whose sum is σ = 161584640. Its totient is φ = 16312320.

The previous prime is 54859583. The next prime is 54859589. The reversal of 54859584 is 48595845.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1152000) is a multiple of the sum of its prime factors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54859583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77022 + ... + 77730.

It is an arithmetic number, because the mean of its divisors is an integer number (1442720).

Almost surely, 2^54859584 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 54859584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80792320).

54859584 is an abundant number, since it is smaller than the sum of its proper divisors (106725056).

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

54859584 is a wasteful number, since it uses less digits than its factorization.

54859584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 48.

The square root of 54859584 is about 7406.7255923249. The cubic root of 54859584 is about 379.9713367115.

The spelling of 54859584 in words is "fifty-four million, eight hundred fifty-nine thousand, five hundred eighty-four".