88024864 has 48 divisors (see below), whose sum is σ = 182044800. Its totient is φ = 41817600.

The previous prime is 88024819. The next prime is 88024883. The reversal of 88024864 is 46842088.

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 7 ways as a sum of consecutive naturals, for example, 146164 + ... + 146764.

It is an arithmetic number, because the mean of its divisors is an integer number (3792600).

Almost surely, 2^88024864 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 88024864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91022400).

88024864 is an abundant number, since it is smaller than the sum of its proper divisors (94019936).

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

88024864 is a wasteful number, since it uses less digits than its factorization.

88024864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 88024864 is about 9382.1566817017. The cubic root of 88024864 is about 444.8379058668.

It can be divided in two parts, 88024 and 864, that added together give a palindrome (88888).

The spelling of 88024864 in words is "eighty-eight million, twenty-four thousand, eight hundred sixty-four".