54680832 has 126 divisors (see below), whose sum is σ = 164205762. Its totient is φ = 18164736.

The previous prime is 54680809. The next prime is 54680837. The reversal of 54680832 is 23808645.

54680832 is a `hidden beast` number, since 546 + 80 + 8 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53934336 + 746496 = 7344^2 + 864^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54680837) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186478 + ... + 186770.

Almost surely, 2^54680832 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 54680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82102881).

54680832 is an abundant number, since it is smaller than the sum of its proper divisors (109524930).

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

54680832 is an frugal number, since it uses more digits than its factorization.

54680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 54680832 is about 7394.6488760454. The cubic root of 54680832 is about 379.5581938286.

The spelling of 54680832 in words is "fifty-four million, six hundred eighty thousand, eight hundred thirty-two".