289968000 has 256 divisors, whose sum is σ = 1099837440. Its totient is φ = 66201600.

The previous prime is 289967981. The next prime is 289968011. The reversal of 289968000 is 869982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335569 + ... + 336431.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^289968000 is an apocalyptic number.

289968000 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 289968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549918720).

289968000 is an abundant number, since it is smaller than the sum of its proper divisors (809869440).

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

289968000 is an equidigital number, since it uses as much as digits as its factorization.

289968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 289968000 is about 17028.4467876551. The cubic root of 289968000 is about 661.8862477703.

The spelling of 289968000 in words is "two hundred eighty-nine million, nine hundred sixty-eight thousand".