97980960 has 288 divisors, whose sum is σ = 389321856. Its totient is φ = 20275200.

The previous prime is 97980959. The next prime is 97980977. The reversal of 97980960 is 6908979.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406440 + ... + 406680.

It is an arithmetic number, because the mean of its divisors is an integer number (1351812).

Almost surely, 2^97980960 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 97980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194660928).

97980960 is an abundant number, since it is smaller than the sum of its proper divisors (291340896).

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

97980960 is a wasteful number, since it uses less digits than its factorization.

97980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 97980960 is about 9898.5332246753. The cubic root of 97980960 is about 461.0137692084.

The spelling of 97980960 in words is "ninety-seven million, nine hundred eighty thousand, nine hundred sixty".