289920960 has 336 divisors, whose sum is σ = 1161141696. Its totient is φ = 65028096.

The previous prime is 289920919. The next prime is 289920973. The reversal of 289920960 is 69029982.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1471582 + ... + 1471778.

Almost surely, 2^289920960 is an apocalyptic number.

289920960 is a gapful number since it is divisible by the number (20) 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 289920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580570848).

289920960 is an abundant number, since it is smaller than the sum of its proper divisors (871220736).

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

289920960 is a wasteful number, since it uses less digits than its factorization.

289920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 289920960 is about 17027.0655134700. The cubic root of 289920960 is about 661.8504543806.

The spelling of 289920960 in words is "two hundred eighty-nine million, nine hundred twenty thousand, nine hundred sixty".