289573680 has 320 divisors, whose sum is σ = 1079930880. Its totient is φ = 63360000.

The previous prime is 289573607. The next prime is 289573681. The reversal of 289573680 is 86375982.

It is a super-2 number, since 2×289573680² = 167705832297484800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (289573681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1153555 + ... + 1153805.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^289573680 is an apocalyptic number.

289573680 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 289573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

289573680 is an abundant number, since it is smaller than the sum of its proper divisors (790357200).

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

289573680 is a wasteful number, since it uses less digits than its factorization.

289573680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 289573680 is about 17016.8645760610. The cubic root of 289573680 is about 661.5860843253.

The spelling of 289573680 in words is "two hundred eighty-nine million, five hundred seventy-three thousand, six hundred eighty".