88256880 has 60 divisors (see below), whose sum is σ = 296398440. Its totient is φ = 23534976.

The previous prime is 88256873. The next prime is 88256891. The reversal of 88256880 is 8865288.

88256880 is a `hidden beast` number, since 8 + 8 + 2 + 568 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 60570 + ... + 62009.

It is an arithmetic number, because the mean of its divisors is an integer number (4939974).

Almost surely, 2^88256880 is an apocalyptic number.

88256880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88256880 is an abundant number, since it is smaller than the sum of its proper divisors (208141560).

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

88256880 is a wasteful number, since it uses less digits than its factorization.

88256880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122598 (or 122589 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 88256880 is about 9394.5132923425. The cubic root of 88256880 is about 445.2283976723.

The spelling of 88256880 in words is "eighty-eight million, two hundred fifty-six thousand, eight hundred eighty".