97864080 has 80 divisors (see below), whose sum is σ = 316586880. Its totient is φ = 24961024.

The previous prime is 97864049. The next prime is 97864093. The reversal of 97864080 is 8046879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3345 + ... + 14384.

It is an arithmetic number, because the mean of its divisors is an integer number (3957336).

Almost surely, 2^97864080 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 97864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158293440).

97864080 is an abundant number, since it is smaller than the sum of its proper divisors (218722800).

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

97864080 is a wasteful number, since it uses less digits than its factorization.

97864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17768 (or 17762 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 97864080 is about 9892.6275579342. The cubic root of 97864080 is about 460.8303841606.

The spelling of 97864080 in words is "ninety-seven million, eight hundred sixty-four thousand, eighty".