88268256 has 72 divisors (see below), whose sum is σ = 256392864. Its totient is φ = 28792320.

The previous prime is 88268239. The next prime is 88268287. The reversal of 88268256 is 65286288.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10276 + ... + 16796.

It is an arithmetic number, because the mean of its divisors is an integer number (3561012).

Almost surely, 2^88268256 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 88268256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128196432).

88268256 is an abundant number, since it is smaller than the sum of its proper divisors (168124608).

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

88268256 is a wasteful number, since it uses less digits than its factorization.

88268256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6573 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 88268256 is about 9395.1187326186. The cubic root of 88268256 is about 445.2475263062.

The spelling of 88268256 in words is "eighty-eight million, two hundred sixty-eight thousand, two hundred fifty-six".