89604 has 36 divisors (see below), whose sum is σ = 240240. Its totient is φ = 28080.

The previous prime is 89603. The next prime is 89611. The reversal of 89604 is 40698.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (89603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619 + ... + 749.

2⁸⁹⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120120).

89604 is an abundant number, since it is smaller than the sum of its proper divisors (150636).

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

89604 is a wasteful number, since it uses less digits than its factorization.

89604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

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

The square root of 89604 is about 299.3392723984. The cubic root of 89604 is about 44.7482235596.

The spelling of 89604 in words is "eighty-nine thousand, six hundred four".