97686160 has 80 divisors (see below), whose sum is σ = 266857920. Its totient is φ = 32785920.

The previous prime is 97686157. The next prime is 97686167. The reversal of 97686160 is 6168679.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (97686167) 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, 7171 + ... + 15709.

It is an arithmetic number, because the mean of its divisors is an integer number (3335724).

Almost surely, 2^97686160 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 97686160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133428960).

97686160 is an abundant number, since it is smaller than the sum of its proper divisors (169171760).

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

97686160 is a wasteful number, since it uses less digits than its factorization.

97686160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 97686160 is about 9883.6309117652. The cubic root of 97686160 is about 460.5509466674.

The spelling of 97686160 in words is "ninety-seven million, six hundred eighty-six thousand, one hundred sixty".