88513560 has 160 divisors (see below), whose sum is σ = 315200160. Its totient is φ = 22201344.

The previous prime is 88513519. The next prime is 88513603. The reversal of 88513560 is 6531588.

88513560 is a `hidden beast` number, since 8 + 85 + 13 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 54277 + ... + 55883.

It is an arithmetic number, because the mean of its divisors is an integer number (1970001).

Almost surely, 2^88513560 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 88513560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157600080).

88513560 is an abundant number, since it is smaller than the sum of its proper divisors (226686600).

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

88513560 is a wasteful number, since it uses less digits than its factorization.

88513560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 88513560 is about 9408.1645393775. The cubic root of 88513560 is about 445.6596033930.

The spelling of 88513560 in words is "eighty-eight million, five hundred thirteen thousand, five hundred sixty".