89610 has 32 divisors (see below), whose sum is σ = 224640. Its totient is φ = 22848.

The previous prime is 89603. The next prime is 89611. The reversal of 89610 is 1698.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (89611) by changing a digit.

89610 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 15 ways as a sum of consecutive naturals, for example, 819 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁸⁹⁶¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

89610 is an abundant number, since it is smaller than the sum of its proper divisors (135030).

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

89610 is a wasteful number, since it uses less digits than its factorization.

89610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 89610 is about 299.3492943035. The cubic root of 89610 is about 44.7492223370.

The spelling of 89610 in words is "eighty-nine thousand, six hundred ten".