97991600 has 120 divisors (see below), whose sum is σ = 273077760. Its totient is φ = 33096960.

The previous prime is 97991591. The next prime is 97991611. The reversal of 97991600 is 619979.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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, 220979 + ... + 221421.

It is an arithmetic number, because the mean of its divisors is an integer number (2275648).

Almost surely, 2^97991600 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 97991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136538880).

97991600 is an abundant number, since it is smaller than the sum of its proper divisors (175086160).

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

97991600 is a wasteful number, since it uses less digits than its factorization.

97991600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 41.

The square root of 97991600 is about 9899.0706634512. The cubic root of 97991600 is about 461.0304561543.

The spelling of 97991600 in words is "ninety-seven million, nine hundred ninety-one thousand, six hundred".