989280 has 96 divisors (see below), whose sum is σ = 3477600. Its totient is φ = 262656.

The previous prime is 989279. The next prime is 989293. The reversal of 989280 is 82989.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

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, 4206 + ... + 4434.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2⁹⁸⁹²⁸⁰ is an apocalyptic number.

989280 is a gapful number since it is divisible by the number (90) 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 989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738800).

989280 is an abundant number, since it is smaller than the sum of its proper divisors (2488320).

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

989280 is a wasteful number, since it uses less digits than its factorization.

989280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

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

The square root of 989280 is about 994.6255576849. The cubic root of 989280 is about 99.6413821363.

The spelling of 989280 in words is "nine hundred eighty-nine thousand, two hundred eighty".