92268 has 36 divisors (see below), whose sum is σ = 255528. Its totient is φ = 27840.

The previous prime is 92251. The next prime is 92269. The reversal of 92268 is 86229.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (92269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (7098).

2⁹²²⁶⁸ 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 92268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764).

92268 is an abundant number, since it is smaller than the sum of its proper divisors (163260).

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

92268 is a wasteful number, since it uses less digits than its factorization.

92268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 92268 is about 303.7564814123. The cubic root of 92268 is about 45.1873669240.

It can be divided in two parts, 922 and 68, that added together give a triangular number (990 = T₄₄).

The spelling of 92268 in words is "ninety-two thousand, two hundred sixty-eight".