289630080 has 320 divisors, whose sum is σ = 1069310880. Its totient is φ = 74649600.

The previous prime is 289630057. The next prime is 289630093. The reversal of 289630080 is 80036982.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1918005 + ... + 1918155.

Almost surely, 2^289630080 is an apocalyptic number.

289630080 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 289630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534655440).

289630080 is an abundant number, since it is smaller than the sum of its proper divisors (779680800).

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

289630080 is a wasteful number, since it uses less digits than its factorization.

289630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 289630080 is about 17018.5216749282. The cubic root of 289630080 is about 661.6290337085.

The spelling of 289630080 in words is "two hundred eighty-nine million, six hundred thirty thousand, eighty".