89016480 has 144 divisors (see below), whose sum is σ = 347203584. Its totient is φ = 20344320.

The previous prime is 89016479. The next prime is 89016517. The reversal of 89016480 is 8461098.

It is a happy number.

89016480 is a `hidden beast` number, since 8 + 9 + 0 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5665 + ... + 14495.

It is an arithmetic number, because the mean of its divisors is an integer number (2411136).

Almost surely, 2^89016480 is an apocalyptic number.

89016480 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 89016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173601792).

89016480 is an abundant number, since it is smaller than the sum of its proper divisors (258187104).

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

89016480 is a wasteful number, since it uses less digits than its factorization.

89016480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8859 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 89016480 is about 9434.8545298802. The cubic root of 89016480 is about 446.5020655353.

The spelling of 89016480 in words is "eighty-nine million, sixteen thousand, four hundred eighty".