89085816 has 96 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 28445760.

The previous prime is 89085781. The next prime is 89085823. The reversal of 89085816 is 61858098.

It is a super-2 number, since 2×89085816² = 15872565224771712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372625 + ... + 372863.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^89085816 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 89085816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

89085816 is an abundant number, since it is smaller than the sum of its proper divisors (162510984).

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

89085816 is a wasteful number, since it uses less digits than its factorization.

89085816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 89085816 is about 9438.5282751073. The cubic root of 89085816 is about 446.6179640471.

The spelling of 89085816 in words is "eighty-nine million, eighty-five thousand, eight hundred sixteen".