88513680 has 80 divisors (see below), whose sum is σ = 283267584. Its totient is φ = 22840320.

The previous prime is 88513619. The next prime is 88513693. The reversal of 88513680 is 8631588.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1492 + ... + 13388.

Almost surely, 2^88513680 is an apocalyptic number.

88513680 is a gapful number since it is divisible by the number (80) 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 88513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141633792).

88513680 is an abundant number, since it is smaller than the sum of its proper divisors (194753904).

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

88513680 is a wasteful number, since it uses less digits than its factorization.

88513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11944 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 88513680 is about 9408.1709168148. The cubic root of 88513680 is about 445.6598047901.

The spelling of 88513680 in words is "eighty-eight million, five hundred thirteen thousand, six hundred eighty".