97870080 has 288 divisors, whose sum is σ = 390878208. Its totient is φ = 20275200.

The previous prime is 97870063. The next prime is 97870081. The reversal of 97870080 is 8007879.

It is not an unprimeable number, because it can be changed into a prime (97870081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295515 + ... + 295845.

It is an arithmetic number, because the mean of its divisors is an integer number (1357216).

Almost surely, 2^97870080 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 97870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195439104).

97870080 is an abundant number, since it is smaller than the sum of its proper divisors (293008128).

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

97870080 is a wasteful number, since it uses less digits than its factorization.

97870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 97870080 is about 9892.9308094214. The cubic root of 97870080 is about 460.8398017318.

The spelling of 97870080 in words is "ninety-seven million, eight hundred seventy thousand, eighty".