45560960 has 64 divisors (see below), whose sum is σ = 109737720. Its totient is φ = 18087936.

The previous prime is 45560939. The next prime is 45560971. The reversal of 45560960 is 6906554.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41267776 + 4293184 = 6424^2 + 2072^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45560960² = 4151602152243200, 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 45560960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164342 + ... + 164618.

Almost surely, 2^45560960 is an apocalyptic number.

45560960 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 45560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54868860).

45560960 is an abundant number, since it is smaller than the sum of its proper divisors (64176760).

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

45560960 is a wasteful number, since it uses less digits than its factorization.

45560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

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

The square root of 45560960 is about 6749.8859249620. The cubic root of 45560960 is about 357.1612126185.

The spelling of 45560960 in words is "forty-five million, five hundred sixty thousand, nine hundred sixty".