45583632 has 60 divisors (see below), whose sum is σ = 129217920. Its totient is φ = 14998464.

The previous prime is 45583619. The next prime is 45583669. The reversal of 45583632 is 23638554.

It is a happy number.

45583632 is a `hidden beast` number, since 45 + 583 + 6 + 32 = 666.

It is a super-2 number, since 2×45583632² = 4155735012622848, which contains 22 as substring.

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

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, 9373 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (2153632).

Almost surely, 2^45583632 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 45583632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64608960).

45583632 is an abundant number, since it is smaller than the sum of its proper divisors (83634288).

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

45583632 is a wasteful number, since it uses less digits than its factorization.

45583632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4091 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45583632 is about 6751.5651518740. The cubic root of 45583632 is about 357.2204461978.

The spelling of 45583632 in words is "forty-five million, five hundred eighty-three thousand, six hundred thirty-two".