97682816 has 192 divisors, whose sum is σ = 263723040. Its totient is φ = 35143680.

The previous prime is 97682813. The next prime is 97682821. The reversal of 97682816 is 61828679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97682813) 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, 1843046 + ... + 1843098.

Almost surely, 2^97682816 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 97682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131861520).

97682816 is an abundant number, since it is smaller than the sum of its proper divisors (166040224).

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

97682816 is a wasteful number, since it uses less digits than its factorization.

97682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 97682816 is about 9883.4617417178. The cubic root of 97682816 is about 460.5456914025.

The spelling of 97682816 in words is "ninety-seven million, six hundred eighty-two thousand, eight hundred sixteen".