88885680 has 160 divisors (see below), whose sum is σ = 306647040. Its totient is φ = 21150720.

The previous prime is 88885679. The next prime is 88885703. The reversal of 88885680 is 8658888.

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 31 ways as a sum of consecutive naturals, for example, 96261 + ... + 97179.

It is an arithmetic number, because the mean of its divisors is an integer number (1916544).

Almost surely, 2^88885680 is an apocalyptic number.

88885680 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 88885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153323520).

88885680 is an abundant number, since it is smaller than the sum of its proper divisors (217761360).

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

88885680 is a wasteful number, since it uses less digits than its factorization.

88885680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The square root of 88885680 is about 9427.9202372528. The cubic root of 88885680 is about 446.2832629836.

It can be divided in two parts, 888 and 85680, that added together give a palindrome (86568).

The spelling of 88885680 in words is "eighty-eight million, eight hundred eighty-five thousand, six hundred eighty".