97368768 has 336 divisors, whose sum is σ = 355031040. Its totient is φ = 24883200.

The previous prime is 97368767. The next prime is 97368773. The reversal of 97368768 is 86786379.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (97368767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2374828 + ... + 2374868.

It is an arithmetic number, because the mean of its divisors is an integer number (1056640).

Almost surely, 2^97368768 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 97368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

97368768 is an abundant number, since it is smaller than the sum of its proper divisors (257662272).

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

97368768 is a wasteful number, since it uses less digits than its factorization.

97368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 97368768 is about 9867.5614008731. The cubic root of 97368768 is about 460.0516136162.

The spelling of 97368768 in words is "ninety-seven million, three hundred sixty-eight thousand, seven hundred sixty-eight".