88760256 has 112 divisors (see below), whose sum is σ = 259104384. Its totient is φ = 26643456.

The previous prime is 88760251. The next prime is 88760261. The reversal of 88760256 is 65206788.

It is an interprime number because it is at equal distance from previous prime (88760251) and next prime (88760261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88760251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106915 + ... + 107741.

It is an arithmetic number, because the mean of its divisors is an integer number (2313432).

Almost surely, 2^88760256 is an apocalyptic number.

88760256 is a gapful number since it is divisible by the number (86) 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 88760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129552192).

88760256 is an abundant number, since it is smaller than the sum of its proper divisors (170344128).

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

88760256 is a wasteful number, since it uses less digits than its factorization.

88760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 88760256 is about 9421.2661569451. The cubic root of 88760256 is about 446.0732517246.

The spelling of 88760256 in words is "eighty-eight million, seven hundred sixty thousand, two hundred fifty-six".