45691632 has 60 divisors (see below), whose sum is σ = 146143920. Its totient is φ = 13054464.

The previous prime is 45691627. The next prime is 45691687. The reversal of 45691632 is 23619654.

It is a happy number.

45691632 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 (36).

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 11 ways as a sum of consecutive naturals, for example, 21657 + ... + 23672.

It is an arithmetic number, because the mean of its divisors is an integer number (2435732).

Almost surely, 2^45691632 is an apocalyptic number.

45691632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45691632 is an abundant number, since it is smaller than the sum of its proper divisors (100452288).

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

45691632 is a wasteful number, since it uses less digits than its factorization.

45691632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45350 (or 45341 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 45691632 is about 6759.5585654686. The cubic root of 45691632 is about 357.5023410934.

The spelling of 45691632 in words is "forty-five million, six hundred ninety-one thousand, six hundred thirty-two".