289776960 has 224 divisors, whose sum is σ = 1115568000. Its totient is φ = 70225920.

The previous prime is 289776947. The next prime is 289776983. The reversal of 289776960 is 69677982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 289776897 and 289776906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93516 + ... + 96564.

Almost surely, 2^289776960 is an apocalyptic number.

289776960 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 289776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557784000).

289776960 is an abundant number, since it is smaller than the sum of its proper divisors (825791040).

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

289776960 is a wasteful number, since it uses less digits than its factorization.

289776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 289776960 is about 17022.8364264009. The cubic root of 289776960 is about 661.7408587067.

It can be divided in two parts, 28977 and 6960, that added together give a cube (35937 = 33³).

The spelling of 289776960 in words is "two hundred eighty-nine million, seven hundred seventy-six thousand, nine hundred sixty".