289972760 has 128 divisors (see below), whose sum is σ = 839946240. Its totient is φ = 87436800.

The previous prime is 289972759. The next prime is 289972763. The reversal of 289972760 is 67279982.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 289972699 and 289972708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289972763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93962 + ... + 96998.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^289972760 is an apocalyptic number.

289972760 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 289972760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

289972760 is an abundant number, since it is smaller than the sum of its proper divisors (549973480).

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

289972760 is a wasteful number, since it uses less digits than its factorization.

289972760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 289972760 is about 17028.5865532052. The cubic root of 289972760 is about 661.8898695047.

The spelling of 289972760 in words is "two hundred eighty-nine million, nine hundred seventy-two thousand, seven hundred sixty".