88882320 has 80 divisors (see below), whose sum is σ = 280249920. Its totient is φ = 23296512.

The previous prime is 88882319. The next prime is 88882331. The reversal of 88882320 is 2328888.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 11022 + ... + 17298.

It is an arithmetic number, because the mean of its divisors is an integer number (3503124).

Almost surely, 2^88882320 is an apocalyptic number.

88882320 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 88882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140124960).

88882320 is an abundant number, since it is smaller than the sum of its proper divisors (191367600).

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

88882320 is a wasteful number, since it uses less digits than its factorization.

88882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 88882320 is about 9427.7420414434. The cubic root of 88882320 is about 446.2776395406.

The spelling of 88882320 in words is "eighty-eight million, eight hundred eighty-two thousand, three hundred twenty".