97987200 has 192 divisors, whose sum is σ = 330112800. Its totient is φ = 25538560.

The previous prime is 97987189. The next prime is 97987213. The reversal of 97987200 is 278979.

It is a tau number, because it is divible by the number of its divisors (192).

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, 566314 + ... + 566486.

Almost surely, 2^97987200 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 97987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165056400).

97987200 is an abundant number, since it is smaller than the sum of its proper divisors (232125600).

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

97987200 is a wasteful number, since it uses less digits than its factorization.

97987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 97987200 is about 9898.8484178716. The cubic root of 97987200 is about 461.0235556841.

The spelling of 97987200 in words is "ninety-seven million, nine hundred eighty-seven thousand, two hundred".