89262 has 40 divisors (see below), whose sum is σ = 217800. Its totient is φ = 27216.

The previous prime is 89261. The next prime is 89269. The reversal of 89262 is 26298.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89262.

It is not an unprimeable number, because it can be changed into a prime (89261) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3064 + ... + 3092.

It is an arithmetic number, because the mean of its divisors is an integer number (5445).

2⁸⁹²⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108900).

89262 is an abundant number, since it is smaller than the sum of its proper divisors (128538).

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

89262 is a wasteful number, since it uses less digits than its factorization.

89262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

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

The square root of 89262 is about 298.7674681086. The cubic root of 89262 is about 44.6912193915.

It can be divided in two parts, 89 and 262, that added together give a triangular number (351 = T₂₆).

The spelling of 89262 in words is "eighty-nine thousand, two hundred sixty-two".