289236960 has 384 divisors, whose sum is σ = 1097349120. Its totient is φ = 70963200.

The previous prime is 289236949. The next prime is 289236967. The reversal of 289236960 is 69632982.

289236960 is a `hidden beast` number, since 289 + 2 + 369 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289236967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4073725 + ... + 4073795.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2^289236960 is an apocalyptic number.

289236960 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 289236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548674560).

289236960 is an abundant number, since it is smaller than the sum of its proper divisors (808112160).

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

289236960 is a wasteful number, since it uses less digits than its factorization.

289236960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 289236960 is about 17006.9679837413. The cubic root of 289236960 is about 661.3295512632.

The spelling of 289236960 in words is "two hundred eighty-nine million, two hundred thirty-six thousand, nine hundred sixty".