97116768 has 144 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 27295488.

The previous prime is 97116763. The next prime is 97116781. The reversal of 97116768 is 86761179.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97116763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134713 + ... + 135431.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^97116768 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 97116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

97116768 is an abundant number, since it is smaller than the sum of its proper divisors (223669152).

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

97116768 is a wasteful number, since it uses less digits than its factorization.

97116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 798 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 97116768 is about 9854.7840158981. The cubic root of 97116768 is about 459.6543843731.

The spelling of 97116768 in words is "ninety-seven million, one hundred sixteen thousand, seven hundred sixty-eight".