89360 has 20 divisors (see below), whose sum is σ = 207948. Its totient is φ = 35712.

The previous prime is 89329. The next prime is 89363. The reversal of 89360 is 6398.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 73984 = 124^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89360.

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

89360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 479 + ... + 638.

2⁸⁹³⁶⁰ is an apocalyptic number.

89360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89360 is an abundant number, since it is smaller than the sum of its proper divisors (118588).

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 (103974).

89360 is a wasteful number, since it uses less digits than its factorization.

89360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 89360 is about 298.9314302645. The cubic root of 89360 is about 44.7075687811.

The spelling of 89360 in words is "eighty-nine thousand, three hundred sixty".