89892 has 36 divisors (see below), whose sum is σ = 248976. Its totient is φ = 27120.

The previous prime is 89891. The next prime is 89897. The reversal of 89892 is 29898.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (89891) 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, 283 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2⁸⁹⁸⁹² 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 89892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488).

89892 is an abundant number, since it is smaller than the sum of its proper divisors (159084).

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

89892 is a wasteful number, since it uses less digits than its factorization.

89892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 89892 is about 299.8199459676. The cubic root of 89892 is about 44.7961146716.

Subtracting from 89892 its product of digits (10368), we obtain a square (79524 = 282²).

It can be divided in two parts, 898 and 92, that added together give a triangular number (990 = T₄₄).

The spelling of 89892 in words is "eighty-nine thousand, eight hundred ninety-two".