97130880 has 512 divisors, whose sum is σ = 434764800. Its totient is φ = 19906560.

The previous prime is 97130861. The next prime is 97130921. The reversal of 97130880 is 8803179.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 1330524 + ... + 1330596.

It is an arithmetic number, because the mean of its divisors is an integer number (849150).

Almost surely, 2^97130880 is an apocalyptic number.

97130880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 9855×9856.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217382400).

97130880 is an abundant number, since it is smaller than the sum of its proper divisors (337633920).

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

97130880 is a wasteful number, since it uses less digits than its factorization.

97130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 97130880 is about 9855.4999873167. The cubic root of 97130880 is about 459.6766473618.

The spelling of 97130880 in words is "ninety-seven million, one hundred thirty thousand, eight hundred eighty".