96688800 has 216 divisors, whose sum is σ = 367531164. Its totient is φ = 23777280.

The previous prime is 96688769. The next prime is 96688831. The reversal of 96688800 is 888669.

It is an interprime number because it is at equal distance from previous prime (96688769) and next prime (96688831).

It can be written as a sum of positive squares in 6 ways, for example, as 44675856 + 52012944 = 6684^2 + 7212^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93084 + ... + 94116.

Almost surely, 2^96688800 is an apocalyptic number.

96688800 is a gapful number since it is divisible by the number (90) 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 96688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183765582).

96688800 is an abundant number, since it is smaller than the sum of its proper divisors (270842364).

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

96688800 is a wasteful number, since it uses less digits than its factorization.

96688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1056 counting only the distinct ones).

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

The square root of 96688800 is about 9833.0463234951. The cubic root of 96688800 is about 458.9781982326.

The spelling of 96688800 in words is "ninety-six million, six hundred eighty-eight thousand, eight hundred".