54864384 has 80 divisors (see below), whose sum is σ = 152615232. Its totient is φ = 17481728.

The previous prime is 54864371. The next prime is 54864409. The reversal of 54864384 is 48346845.

54864384 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34552 + ... + 36104.

Almost surely, 2^54864384 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 54864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76307616).

54864384 is an abundant number, since it is smaller than the sum of its proper divisors (97750848).

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

54864384 is a wasteful number, since it uses less digits than its factorization.

54864384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1581 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 54864384 is about 7407.0496150627. The cubic root of 54864384 is about 379.9824183925.

It can be divided in two parts, 5486 and 4384, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 54864384 in words is "fifty-four million, eight hundred sixty-four thousand, three hundred eighty-four".