54684432 has 240 divisors, whose sum is σ = 185702400. Its totient is φ = 14826240.

The previous prime is 54684431. The next prime is 54684463. The reversal of 54684432 is 23448645.

54684432 is a `hidden beast` number, since 546 + 84 + 4 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54684431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692169 + ... + 692247.

It is an arithmetic number, because the mean of its divisors is an integer number (773760).

Almost surely, 2^54684432 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 54684432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851200).

54684432 is an abundant number, since it is smaller than the sum of its proper divisors (131017968).

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

54684432 is a wasteful number, since it uses less digits than its factorization.

54684432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 54684432 is about 7394.8922913049. The cubic root of 54684432 is about 379.5665232527.

It can be divided in two parts, 54 and 684432, that added together give a palindrome (684486).

The spelling of 54684432 in words is "fifty-four million, six hundred eighty-four thousand, four hundred thirty-two".