89256 has 16 divisors (see below), whose sum is σ = 223200. Its totient is φ = 29744.

The previous prime is 89237. The next prime is 89261. The reversal of 89256 is 65298.

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

It is an unprimeable number.

89256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1836 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2⁸⁹²⁵⁶ is an apocalyptic number.

It is an amenable number.

89256 is an abundant number, since it is smaller than the sum of its proper divisors (133944).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

89256 is a wasteful number, since it uses less digits than its factorization.

89256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3724 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 89256 is about 298.7574266859. The cubic root of 89256 is about 44.6902180198.

The spelling of 89256 in words is "eighty-nine thousand, two hundred fifty-six".