92083968 has 108 divisors (see below), whose sum is σ = 281238048. Its totient is φ = 28876800.

The previous prime is 92083897. The next prime is 92083993. The reversal of 92083968 is 86938029.

92083968 = 142² + 143² + ... + 653².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37993 + ... + 40343.

It is an arithmetic number, because the mean of its divisors is an integer number (2604056).

Almost surely, 2^92083968 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 92083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140619024).

92083968 is an abundant number, since it is smaller than the sum of its proper divisors (189154080).

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

92083968 is a wasteful number, since it uses less digits than its factorization.

92083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 92083968 is about 9596.0391829129. The cubic root of 92083968 is about 451.5730429318.

The spelling of 92083968 in words is "ninety-two million, eighty-three thousand, nine hundred sixty-eight".