89516 has 24 divisors (see below), whose sum is σ = 188160. Its totient is φ = 36432.

The previous prime is 89513. The next prime is 89519. The reversal of 89516 is 61598.

It is an interprime number because it is at equal distance from previous prime (89513) and next prime (89519).

It is a super-2 number, since 2×89516² = 16026228512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (7840).

2⁸⁹⁵¹⁶ 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 89516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

89516 is an abundant number, since it is smaller than the sum of its proper divisors (98644).

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

89516 is a wasteful number, since it uses less digits than its factorization.

89516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 89516 is about 299.1922458888. The cubic root of 89516 is about 44.7335696993.

The spelling of 89516 in words is "eighty-nine thousand, five hundred sixteen".