88560160 has 48 divisors (see below), whose sum is σ = 225322776. Its totient is φ = 32698368.

The previous prime is 88560151. The next prime is 88560167. The reversal of 88560160 is 6106588.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 74028816 + 14531344 = 8604^2 + 3812^2 .

It is a super-4 number, since 4×88560160⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (88560167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19209 + ... + 23368.

Almost surely, 2^88560160 is an apocalyptic number.

88560160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88560160 is an abundant number, since it is smaller than the sum of its proper divisors (136762616).

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

88560160 is a wasteful number, since it uses less digits than its factorization.

88560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42605 (or 42597 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 88560160 is about 9410.6407858339. The cubic root of 88560160 is about 445.7377989224.

The spelling of 88560160 in words is "eighty-eight million, five hundred sixty thousand, one hundred sixty".