97201680 has 80 divisors (see below), whose sum is σ = 314444160. Its totient is φ = 24792064.

The previous prime is 97201673. The next prime is 97201681. The reversal of 97201680 is 8610279.

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

It is not an unprimeable number, because it can be changed into a prime (97201681) 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, 3285 + ... + 14324.

It is an arithmetic number, because the mean of its divisors is an integer number (3930552).

Almost surely, 2^97201680 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 97201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157222080).

97201680 is an abundant number, since it is smaller than the sum of its proper divisors (217242480).

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

97201680 is a wasteful number, since it uses less digits than its factorization.

97201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17648 (or 17642 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 97201680 is about 9859.0912360116. The cubic root of 97201680 is about 459.7883083917.

The spelling of 97201680 in words is "ninety-seven million, two hundred one thousand, six hundred eighty".