97688900 has 36 divisors (see below), whose sum is σ = 214986240. Its totient is φ = 38522400.

The previous prime is 97688893. The next prime is 97688923. The reversal of 97688900 is 988679.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (5971840).

Almost surely, 2^97688900 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 97688900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107493120).

97688900 is an abundant number, since it is smaller than the sum of its proper divisors (117297340).

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

97688900 is a wasteful number, since it uses less digits than its factorization.

97688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844 (or 13837 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 97688900 is about 9883.7695238204. The cubic root of 97688900 is about 460.5552526264. Note that the first 3 decimals are identical.

The spelling of 97688900 in words is "ninety-seven million, six hundred eighty-eight thousand, nine hundred".