289975680 has 256 divisors, whose sum is σ = 1043582400. Its totient is φ = 76087296.

The previous prime is 289975661. The next prime is 289975687. The reversal of 289975680 is 86579982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289975687) 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, 1676074 + ... + 1676246.

Almost surely, 2^289975680 is an apocalyptic number.

289975680 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 289975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521791200).

289975680 is an abundant number, since it is smaller than the sum of its proper divisors (753606720).

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

289975680 is a wasteful number, since it uses less digits than its factorization.

289975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 289975680 is about 17028.6722911682. The cubic root of 289975680 is about 661.8920912214.

The spelling of 289975680 in words is "two hundred eighty-nine million, nine hundred seventy-five thousand, six hundred eighty".