89981280 has 240 divisors, whose sum is σ = 326020464. Its totient is φ = 23362560.

The previous prime is 89981263. The next prime is 89981291. The reversal of 89981280 is 8218998.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 686815 + ... + 686945.

Almost surely, 2^89981280 is an apocalyptic number.

89981280 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 89981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163010232).

89981280 is an abundant number, since it is smaller than the sum of its proper divisors (236039184).

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

89981280 is a wasteful number, since it uses less digits than its factorization.

89981280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 89981280 is about 9485.8462985650. The cubic root of 89981280 is about 448.1094014283.

The spelling of 89981280 in words is "eighty-nine million, nine hundred eighty-one thousand, two hundred eighty".