88813296 has 240 divisors, whose sum is σ = 308730240. Its totient is φ = 23431680.

The previous prime is 88813271. The next prime is 88813303. The reversal of 88813296 is 69231888.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391135 + ... + 391361.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^88813296 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 88813296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

88813296 is an abundant number, since it is smaller than the sum of its proper divisors (219916944).

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

88813296 is a wasteful number, since it uses less digits than its factorization.

88813296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 88813296 is about 9424.0806448162. The cubic root of 88813296 is about 446.1620865822.

The spelling of 88813296 in words is "eighty-eight million, eight hundred thirteen thousand, two hundred ninety-six".