289969056 has 144 divisors (see below), whose sum is σ = 910171080. Its totient is φ = 86999040.

The previous prime is 289969033. The next prime is 289969079. The reversal of 289969056 is 650969982.

It is an interprime number because it is at equal distance from previous prime (289969033) and next prime (289969079).

It can be written as a sum of positive squares in 4 ways, for example, as 117939600 + 172029456 = 10860^2 + 13116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×289969056² = 168164106875062272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 289968993 and 289969011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152560 + ... + 154448.

Almost surely, 2^289969056 is an apocalyptic number.

289969056 is a gapful number since it is divisible by the number (26) 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 289969056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455085540).

289969056 is an abundant number, since it is smaller than the sum of its proper divisors (620202024).

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

289969056 is a wasteful number, since it uses less digits than its factorization.

289969056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 289969056 is about 17028.4777945652. The cubic root of 289969056 is about 661.8870512509.

The spelling of 289969056 in words is "two hundred eighty-nine million, nine hundred sixty-nine thousand, fifty-six".