89009280 has 320 divisors, whose sum is σ = 339898680. Its totient is φ = 22118400.

The previous prime is 89009273. The next prime is 89009321. The reversal of 89009280 is 8290098.

It can be written as a sum of positive squares in 4 ways, for example, as 88962624 + 46656 = 9432^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×89009280² = 15845303852236800, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 881230 + ... + 881330.

Almost surely, 2^89009280 is an apocalyptic number.

89009280 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 89009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169949340).

89009280 is an abundant number, since it is smaller than the sum of its proper divisors (250889400).

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

89009280 is a wasteful number, since it uses less digits than its factorization.

89009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 89009280 is about 9434.4729582526. The cubic root of 89009280 is about 446.4900269347.

The spelling of 89009280 in words is "eighty-nine million, nine thousand, two hundred eighty".