89364 has 24 divisors (see below), whose sum is σ = 227808. Its totient is φ = 27040.

The previous prime is 89363. The next prime is 89371. The reversal of 89364 is 46398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (9492).

2⁸⁹³⁶⁴ is an apocalyptic number.

It is an amenable number.

89364 is an abundant number, since it is smaller than the sum of its proper divisors (138444).

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 (113904).

89364 is a wasteful number, since it uses less digits than its factorization.

89364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 89364 is about 298.9381206872. The cubic root of 89364 is about 44.7082358492.

The spelling of 89364 in words is "eighty-nine thousand, three hundred sixty-four".