89616 has 20 divisors (see below), whose sum is σ = 231632. Its totient is φ = 29856.

The previous prime is 89611. The next prime is 89627. The reversal of 89616 is 61698.

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.

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, 886 + ... + 981.

2⁸⁹⁶¹⁶ is an apocalyptic number.

It is an amenable number.

89616 is an abundant number, since it is smaller than the sum of its proper divisors (142016).

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 (115816).

89616 is a wasteful number, since it uses less digits than its factorization.

89616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1872 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 89616 is about 299.3593158731. The cubic root of 89616 is about 44.7502210698.

The spelling of 89616 in words is "eighty-nine thousand, six hundred sixteen".