89264 has 20 divisors (see below), whose sum is σ = 197904. Its totient is φ = 38208.

The previous prime is 89261. The next prime is 89269. The reversal of 89264 is 46298.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89264.

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 3 ways as a sum of consecutive naturals, for example, 287 + ... + 510.

2⁸⁹²⁶⁴ is an apocalyptic number.

It is an amenable number.

89264 is an abundant number, since it is smaller than the sum of its proper divisors (108640).

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 (98952).

89264 is a wasteful number, since it uses less digits than its factorization.

89264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 89264 is about 298.7708151744. The cubic root of 89264 is about 44.6915531721.

It can be divided in two parts, 89 and 264, that added together give a palindrome (353).

The spelling of 89264 in words is "eighty-nine thousand, two hundred sixty-four".