88656960 has 224 divisors, whose sum is σ = 327720960. Its totient is φ = 19888128.

The previous prime is 88656959. The next prime is 88656961. The reversal of 88656960 is 6965688.

It is an interprime number because it is at equal distance from previous prime (88656959) and next prime (88656961).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88656961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530797 + ... + 530963.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^88656960 is an apocalyptic number.

88656960 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 88656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

88656960 is an abundant number, since it is smaller than the sum of its proper divisors (239064000).

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

88656960 is a wasteful number, since it uses less digits than its factorization.

88656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 88656960 is about 9415.7824953638. The cubic root of 88656960 is about 445.9001432083.

The spelling of 88656960 in words is "eighty-eight million, six hundred fifty-six thousand, nine hundred sixty".