97666688 has 64 divisors (see below), whose sum is σ = 234110400. Its totient is φ = 39647232.

The previous prime is 97666601. The next prime is 97666703. The reversal of 97666688 is 88666679.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14156 + ... + 19892.

It is an arithmetic number, because the mean of its divisors is an integer number (3657975).

Almost surely, 2^97666688 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 97666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117055200).

97666688 is an abundant number, since it is smaller than the sum of its proper divisors (136443712).

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

97666688 is a wasteful number, since it uses less digits than its factorization.

97666688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5765 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 56.

The square root of 97666688 is about 9882.6457995822. The cubic root of 97666688 is about 460.5203437517.

Subtracting from 97666688 its reverse (88666679), we obtain a palindrome (9000009).

The spelling of 97666688 in words is "ninety-seven million, six hundred sixty-six thousand, six hundred eighty-eight".