54039384 has 96 divisors (see below), whose sum is σ = 168480000. Its totient is φ = 15327936.

The previous prime is 54039373. The next prime is 54039407. The reversal of 54039384 is 48393045.

54039384 is a `hidden beast` number, since 540 + 39 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89917 + ... + 90515.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 2^54039384 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 54039384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240000).

54039384 is an abundant number, since it is smaller than the sum of its proper divisors (114440616).

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

54039384 is a wasteful number, since it uses less digits than its factorization.

54039384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 54039384 is about 7351.1484817000. The cubic root of 54039384 is about 378.0681828799.

The spelling of 54039384 in words is "fifty-four million, thirty-nine thousand, three hundred eighty-four".