88800096 has 192 divisors, whose sum is σ = 298722816. Its totient is φ = 22425600.

The previous prime is 88800083. The next prime is 88800113. The reversal of 88800096 is 69000888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302926 + ... + 303218.

It is an arithmetic number, because the mean of its divisors is an integer number (1555848).

Almost surely, 2^88800096 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 88800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149361408).

88800096 is an abundant number, since it is smaller than the sum of its proper divisors (209922720).

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

88800096 is a wasteful number, since it uses less digits than its factorization.

88800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 88800096 is about 9423.3802852267. The cubic root of 88800096 is about 446.1399816662.

The spelling of 88800096 in words is "eighty-eight million, eight hundred thousand, ninety-six".