89080320 has 160 divisors (see below), whose sum is σ = 325657728. Its totient is φ = 20348928.

The previous prime is 89080309. The next prime is 89080339. The reversal of 89080320 is 2308098.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×89080320² = 15870606822604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52932 + ... + 54588.

Almost surely, 2^89080320 is an apocalyptic number.

89080320 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 89080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162828864).

89080320 is an abundant number, since it is smaller than the sum of its proper divisors (236577408).

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

89080320 is a wasteful number, since it uses less digits than its factorization.

89080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 89080320 is about 9438.2371235311. The cubic root of 89080320 is about 446.6087794094.

The spelling of 89080320 in words is "eighty-nine million, eighty thousand, three hundred twenty".