92868000 has 192 divisors, whose sum is σ = 311351040. Its totient is φ = 24192000.

The previous prime is 92867987. The next prime is 92868007. The reversal of 92868000 is 86829.

It is not an unprimeable number, because it can be changed into a prime (92868007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851946 + ... + 852054.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^92868000 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 92868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

92868000 is an abundant number, since it is smaller than the sum of its proper divisors (218483040).

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

92868000 is a wasteful number, since it uses less digits than its factorization.

92868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 92868000 is about 9636.8044496088. The cubic root of 92868000 is about 452.8510345487.

The spelling of 92868000 in words is "ninety-two million, eight hundred sixty-eight thousand".