289520640 has 264 divisors, whose sum is σ = 1029526368. Its totient is φ = 75202560.

The previous prime is 289520633. The next prime is 289520663. The reversal of 289520640 is 46025982.

It is a happy number.

289520640 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 2 + 0 + 640 = 666.

289520640 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 289520595 and 289520604.

It is a congruent number.

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, 2810829 + ... + 2810931.

Almost surely, 2^289520640 is an apocalyptic number.

289520640 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 289520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514763184).

289520640 is an abundant number, since it is smaller than the sum of its proper divisors (740005728).

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

289520640 is a wasteful number, since it uses less digits than its factorization.

289520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 289520640 is about 17015.3060507297. The cubic root of 289520640 is about 661.5456885400.

The spelling of 289520640 in words is "two hundred eighty-nine million, five hundred twenty thousand, six hundred forty".