89600 has 60 divisors (see below), whose sum is σ = 253704. Its totient is φ = 30720.

The previous prime is 89599. The next prime is 89603. The reversal of 89600 is 698.

It is a congruent number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12797 + ... + 12803.

2⁸⁹⁶⁰⁰ is an apocalyptic number.

89600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126852).

89600 is an abundant number, since it is smaller than the sum of its proper divisors (164104).

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

89600 is an equidigital number, since it uses as much as digits as its factorization.

89600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 89600 is about 299.3325909419. The cubic root of 89600 is about 44.7475576833.

The spelling of 89600 in words is "eighty-nine thousand, six hundred".