89816000 has 112 divisors (see below), whose sum is σ = 226649280. Its totient is φ = 35251200.

The previous prime is 89815997. The next prime is 89816009. The reversal of 89816000 is 61898.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89816009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823946 + ... + 824054.

Almost surely, 2^89816000 is an apocalyptic number.

89816000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113324640).

89816000 is an abundant number, since it is smaller than the sum of its proper divisors (136833280).

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

89816000 is a wasteful number, since it uses less digits than its factorization.

89816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 89816000 is about 9477.1303673633. The cubic root of 89816000 is about 447.8348668604.

Adding to 89816000 its reverse (61898), we get a palindrome (89877898).

The spelling of 89816000 in words is "eighty-nine million, eight hundred sixteen thousand".