97200960 has 168 divisors, whose sum is σ = 329366880. Its totient is φ = 24219648.

The previous prime is 97200959. The next prime is 97200973. The reversal of 97200960 is 6900279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331484 + ... + 1331556.

Almost surely, 2^97200960 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 97200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164683440).

97200960 is an abundant number, since it is smaller than the sum of its proper divisors (232165920).

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

97200960 is a wasteful number, since it uses less digits than its factorization.

97200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 97200960 is about 9859.0547214223. The cubic root of 97200960 is about 459.7871731288.

The spelling of 97200960 in words is "ninety-seven million, two hundred thousand, nine hundred sixty".