97390080 has 160 divisors (see below), whose sum is σ = 346183200. Its totient is φ = 25952256.

The previous prime is 97390079. The next prime is 97390087. The reversal of 97390080 is 8009379.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97390087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68416 + ... + 69824.

It is an arithmetic number, because the mean of its divisors is an integer number (2163645).

Almost surely, 2^97390080 is an apocalyptic number.

97390080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173091600).

97390080 is an abundant number, since it is smaller than the sum of its proper divisors (248793120).

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

97390080 is a wasteful number, since it uses less digits than its factorization.

97390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97390080 is about 9868.6412438593. The cubic root of 97390080 is about 460.0851764138.

The spelling of 97390080 in words is "ninety-seven million, three hundred ninety thousand, eighty".