97385568 has 96 divisors (see below), whose sum is σ = 293723136. Its totient is φ = 27675648.

The previous prime is 97385543. The next prime is 97385581. The reversal of 97385568 is 86558379.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 97385568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210105 + ... + 210567.

It is an arithmetic number, because the mean of its divisors is an integer number (3059616).

Almost surely, 2^97385568 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 97385568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146861568).

97385568 is an abundant number, since it is smaller than the sum of its proper divisors (196337568).

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

97385568 is a wasteful number, since it uses less digits than its factorization.

97385568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 97385568 is about 9868.4126383122. The cubic root of 97385568 is about 460.0780711851.

The spelling of 97385568 in words is "ninety-seven million, three hundred eighty-five thousand, five hundred sixty-eight".