289950960 has 160 divisors (see below), whose sum is σ = 974937600. Its totient is φ = 70861824.

The previous prime is 289950953. The next prime is 289950977. The reversal of 289950960 is 69059982.

289950960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620647 + ... + 621113.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^289950960 is an apocalyptic number.

289950960 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 289950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

289950960 is an abundant number, since it is smaller than the sum of its proper divisors (684986640).

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

289950960 is a wasteful number, since it uses less digits than its factorization.

289950960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 289950960 is about 17027.9464410715. The cubic root of 289950960 is about 661.8732822446.

The spelling of 289950960 in words is "two hundred eighty-nine million, nine hundred fifty thousand, nine hundred sixty".