97980416 has 52 divisors (see below), whose sum is σ = 206413200. Its totient is φ = 46374912.

The previous prime is 97980413. The next prime is 97980431. The reversal of 97980416 is 61408979.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (97980413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77195 + ... + 78453.

Almost surely, 2^97980416 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 97980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103206600).

97980416 is an abundant number, since it is smaller than the sum of its proper divisors (108432784).

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

97980416 is a wasteful number, since it uses less digits than its factorization.

97980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 97980416 is about 9898.5057458184. The cubic root of 97980416 is about 461.0129160087.

The spelling of 97980416 in words is "ninety-seven million, nine hundred eighty thousand, four hundred sixteen".