88031664 has 160 divisors (see below), whose sum is σ = 295933440. Its totient is φ = 24530688.

The previous prime is 88031653. The next prime is 88031677. The reversal of 88031664 is 46613088.

It is a happy number.

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129694 + ... + 130370.

It is an arithmetic number, because the mean of its divisors is an integer number (1849584).

Almost surely, 2^88031664 is an apocalyptic number.

88031664 is a gapful number since it is divisible by the number (84) 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 88031664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147966720).

88031664 is an abundant number, since it is smaller than the sum of its proper divisors (207901776).

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

88031664 is a wasteful number, since it uses less digits than its factorization.

88031664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88031664 is about 9382.5190647288. The cubic root of 88031664 is about 444.8493602814.

The spelling of 88031664 in words is "eighty-eight million, thirty-one thousand, six hundred sixty-four".