54565632 has 108 divisors (see below), whose sum is σ = 171708264. Its totient is φ = 16527360.

The previous prime is 54565607. The next prime is 54565657. The reversal of 54565632 is 23656545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54565607) and next prime (54565657).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24268 + ... + 26420.

Almost surely, 2^54565632 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 54565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85854132).

54565632 is an abundant number, since it is smaller than the sum of its proper divisors (117142632).

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

54565632 is a wasteful number, since it uses less digits than its factorization.

54565632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2169 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 54565632 is about 7386.8553525841. The cubic root of 54565632 is about 379.2914590054.

The spelling of 54565632 in words is "fifty-four million, five hundred sixty-five thousand, six hundred thirty-two".