289992960 has 180 divisors, whose sum is σ = 1038018828. Its totient is φ = 77303808.

The previous prime is 289992893. The next prime is 289992977. The reversal of 289992960 is 69299982.

It can be written as a sum of positive squares in 2 ways, for example, as 160579584 + 129413376 = 12672^2 + 11376^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 289992897 and 289992906.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102282 + ... + 105078.

Almost surely, 2^289992960 is an apocalyptic number.

289992960 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 289992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519009414).

289992960 is an abundant number, since it is smaller than the sum of its proper divisors (748025868).

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

289992960 is an equidigital number, since it uses as much as digits as its factorization.

289992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 289992960 is about 17029.1796631547. The cubic root of 289992960 is about 661.9052386092.

It can be divided in two parts, 2899 and 92960, that added together give a palindrome (95859).

The spelling of 289992960 in words is "two hundred eighty-nine million, nine hundred ninety-two thousand, nine hundred sixty".