88320096 has 72 divisors (see below), whose sum is σ = 252088200. Its totient is φ = 29331456.

The previous prime is 88320091. The next prime is 88320139. The reversal of 88320096 is 69002388.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 88320096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88320091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128971 + ... + 129653.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2^88320096 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 88320096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126044100).

88320096 is an abundant number, since it is smaller than the sum of its proper divisors (163768104).

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

88320096 is a wasteful number, since it uses less digits than its factorization.

88320096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 88320096 is about 9397.8772071144. The cubic root of 88320096 is about 445.3346739614.

The spelling of 88320096 in words is "eighty-eight million, three hundred twenty thousand, ninety-six".