89064 has 24 divisors (see below), whose sum is σ = 241410. Its totient is φ = 29664.

The previous prime is 89057. The next prime is 89069. The reversal of 89064 is 46098.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 22500 = 258^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (89069) by changing a digit.

89064 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 5 ways as a sum of consecutive naturals, for example, 547 + ... + 690.

2⁸⁹⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

89064 is an abundant number, since it is smaller than the sum of its proper divisors (152346).

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

89064 is a wasteful number, since it uses less digits than its factorization.

89064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1242 counting only the distinct ones).

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

The square root of 89064 is about 298.4359227707. The cubic root of 89064 is about 44.6581504023.

The spelling of 89064 in words is "eighty-nine thousand, sixty-four".