289608540 has 84 divisors (see below), whose sum is σ = 878479224. Its totient is φ = 71288256.

The previous prime is 289608523. The next prime is 289608559. The reversal of 289608540 is 45806982.

It is a junction number, because it is equal to n+sod(n) for n = 289608492 and 289608501.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 845 × 507 × 676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22277574 + ... + 22277586.

It is an arithmetic number, because the mean of its divisors is an integer number (10458086).

Almost surely, 2^289608540 is an apocalyptic number.

289608540 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 289608540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439239612).

289608540 is an abundant number, since it is smaller than the sum of its proper divisors (588870684).

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

289608540 is an frugal number, since it uses more digits than its factorization.

289608540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 289608540 is about 17017.8888232354. Note that the first 4 decimals coincide. The cubic root of 289608540 is about 661.6126313575.

Multiplying 289608540 by its product of nonzero digits (138240), we get a square (40035484569600 = 6327360²).

The spelling of 289608540 in words is "two hundred eighty-nine million, six hundred eight thousand, five hundred forty".