45690560 has 112 divisors (see below), whose sum is σ = 118835424. Its totient is φ = 16662528.

The previous prime is 45690529. The next prime is 45690563. The reversal of 45690560 is 6509654.

It is a happy number.

It is a super-2 number, since 2×45690560² = 4175254546227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45690560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45690563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201167 + ... + 201393.

Almost surely, 2^45690560 is an apocalyptic number.

45690560 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 45690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59417712).

45690560 is an abundant number, since it is smaller than the sum of its proper divisors (73144864).

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

45690560 is a wasteful number, since it uses less digits than its factorization.

45690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 45690560 is about 6759.4792698846. The cubic root of 45690560 is about 357.4995452095.

The spelling of 45690560 in words is "forty-five million, six hundred ninety thousand, five hundred sixty".