45593632 has 48 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 19312128.

The previous prime is 45593629. The next prime is 45593641. The reversal of 45593632 is 23639554.

It is a junction number, because it is equal to n+sod(n) for n = 45593591 and 45593600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18793 + ... + 21079.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^45593632 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 45593632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

45593632 is an abundant number, since it is smaller than the sum of its proper divisors (58190048).

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

45593632 is a wasteful number, since it uses less digits than its factorization.

45593632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2385 counting only the distinct ones).

The product of its digits is 97200, while the sum is 37.

The square root of 45593632 is about 6752.3056802843. The cubic root of 45593632 is about 357.2465662700.

It can be divided in two parts, 45593 and 632, that added together give a square (46225 = 215²).

The spelling of 45593632 in words is "forty-five million, five hundred ninety-three thousand, six hundred thirty-two".