92686968 has 72 divisors (see below), whose sum is σ = 275948400. Its totient is φ = 28084320.

The previous prime is 92686967. The next prime is 92687017. The reversal of 92686968 is 86968629.

It is a tau number, because it is divible by the number of its divisors (72).

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 (92686963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3393 + ... + 14031.

Almost surely, 2^92686968 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 92686968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137974200).

92686968 is an abundant number, since it is smaller than the sum of its proper divisors (183261432).

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

92686968 is a wasteful number, since it uses less digits than its factorization.

92686968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673 (or 10655 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 92686968 is about 9627.4071275707. The cubic root of 92686968 is about 452.5565884684.

The spelling of 92686968 in words is "ninety-two million, six hundred eighty-six thousand, nine hundred sixty-eight".