88096400 has 120 divisors (see below), whose sum is σ = 245769984. Its totient is φ = 29721600.

The previous prime is 88096391. The next prime is 88096427. The reversal of 88096400 is 469088.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204185 + ... + 204615.

Almost surely, 2^88096400 is an apocalyptic number.

88096400 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 88096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122884992).

88096400 is an abundant number, since it is smaller than the sum of its proper divisors (157673584).

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

88096400 is a wasteful number, since it uses less digits than its factorization.

88096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 88096400 is about 9385.9682505323. The cubic root of 88096400 is about 444.9583767827.

The spelling of 88096400 in words is "eighty-eight million, ninety-six thousand, four hundred".