54088832 has 128 divisors (see below), whose sum is σ = 134835840. Its totient is φ = 21086208.

The previous prime is 54088823. The next prime is 54088841. The reversal of 54088832 is 23888045.

It is an interprime number because it is at equal distance from previous prime (54088823) and next prime (54088841).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 807263 + ... + 807329.

It is an arithmetic number, because the mean of its divisors is an integer number (1053405).

Almost surely, 2^54088832 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 54088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67417920).

54088832 is an abundant number, since it is smaller than the sum of its proper divisors (80747008).

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

54088832 is a wasteful number, since it uses less digits than its factorization.

54088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 54088832 is about 7354.5109966605. The cubic root of 54088832 is about 378.1834631003.

The spelling of 54088832 in words is "fifty-four million, eighty-eight thousand, eight hundred thirty-two".