289696080 has 160 divisors (see below), whose sum is σ = 940118400. Its totient is φ = 73701376.

The previous prime is 289696079. The next prime is 289696087. The reversal of 289696080 is 80696982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289696087) 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, 744526 + ... + 744914.

It is an arithmetic number, because the mean of its divisors is an integer number (5875740).

Almost surely, 2^289696080 is an apocalyptic number.

289696080 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 289696080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470059200).

289696080 is an abundant number, since it is smaller than the sum of its proper divisors (650422320).

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

289696080 is a wasteful number, since it uses less digits than its factorization.

289696080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 289696080 is about 17020.4606283144. The cubic root of 289696080 is about 661.6792865457.

The spelling of 289696080 in words is "two hundred eighty-nine million, six hundred ninety-six thousand, eighty".