97330560 has 128 divisors (see below), whose sum is σ = 313148160. Its totient is φ = 25712640.

The previous prime is 97330553. The next prime is 97330567. The reversal of 97330560 is 6503379.

It is an interprime number because it is at equal distance from previous prime (97330553) and next prime (97330567).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97330567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 312805 + ... + 313115.

It is an arithmetic number, because the mean of its divisors is an integer number (2446470).

Almost surely, 2^97330560 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 97330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156574080).

97330560 is an abundant number, since it is smaller than the sum of its proper divisors (215817600).

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

97330560 is a wasteful number, since it uses less digits than its factorization.

97330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 97330560 is about 9865.6251702566. The cubic root of 97330560 is about 459.9914302121.

The spelling of 97330560 in words is "ninety-seven million, three hundred thirty thousand, five hundred sixty".