97666128 has 80 divisors (see below), whose sum is σ = 320396160. Its totient is φ = 27903744.

The previous prime is 97666123. The next prime is 97666169. The reversal of 97666128 is 82166679.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97666123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13125 + ... + 19172.

It is an arithmetic number, because the mean of its divisors is an integer number (4004952).

Almost surely, 2^97666128 is an apocalyptic number.

It is an amenable number.

97666128 is an abundant number, since it is smaller than the sum of its proper divisors (222730032).

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

97666128 is a wasteful number, since it uses less digits than its factorization.

97666128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32321 (or 32309 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 97666128 is about 9882.6174670479. The cubic root of 97666128 is about 460.5194635748.

The spelling of 97666128 in words is "ninety-seven million, six hundred sixty-six thousand, one hundred twenty-eight".