54705632 has 48 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 26339712.

The previous prime is 54705619. The next prime is 54705649. The reversal of 54705632 is 23650745.

54705632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113969 + ... + 114447.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^54705632 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 54705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

54705632 is an abundant number, since it is smaller than the sum of its proper divisors (57061408).

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

54705632 is a wasteful number, since it uses less digits than its factorization.

54705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 54705632 is about 7396.3255742294. The cubic root of 54705632 is about 379.6155668919.

The spelling of 54705632 in words is "fifty-four million, seven hundred five thousand, six hundred thirty-two".