96688900 has 144 divisors (see below), whose sum is σ = 271232640. Its totient is φ = 29030400.

The previous prime is 96688883. The next prime is 96688901. The reversal of 96688900 is 988669.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96688901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223084 + ... + 223516.

It is an arithmetic number, because the mean of its divisors is an integer number (1883560).

Almost surely, 2^96688900 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 96688900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135616320).

96688900 is an abundant number, since it is smaller than the sum of its proper divisors (174543740).

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

96688900 is a wasteful number, since it uses less digits than its factorization.

96688900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 96688900 is about 9833.0514083879. The cubic root of 96688900 is about 458.9783564646.

The spelling of 96688900 in words is "ninety-six million, six hundred eighty-eight thousand, nine hundred".