97460880 has 320 divisors, whose sum is σ = 364262400. Its totient is φ = 21288960.

The previous prime is 97460879. The next prime is 97460897. The reversal of 97460880 is 8806479.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1454607 + ... + 1454673.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 2^97460880 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 97460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

97460880 is an abundant number, since it is smaller than the sum of its proper divisors (266801520).

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

97460880 is a wasteful number, since it uses less digits than its factorization.

97460880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 97460880 is about 9872.2277121225. The cubic root of 97460880 is about 460.1966393067.

The spelling of 97460880 in words is "ninety-seven million, four hundred sixty thousand, eight hundred eighty".