45634560 has 88 divisors (see below), whose sum is σ = 146008416. Its totient is φ = 12165120.

The previous prime is 45634513. The next prime is 45634583. The reversal of 45634560 is 6543654.

It is a congruent number.

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, 13875 + ... + 16845.

Almost surely, 2^45634560 is an apocalyptic number.

45634560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73004208).

45634560 is an abundant number, since it is smaller than the sum of its proper divisors (100373856).

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

45634560 is a wasteful number, since it uses less digits than its factorization.

45634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 45634560 is about 6755.3356689361. The cubic root of 45634560 is about 357.3534307154.

The spelling of 45634560 in words is "forty-five million, six hundred thirty-four thousand, five hundred sixty".