289941120 has 640 divisors, whose sum is σ = 1279618560. Its totient is φ = 61046784.

The previous prime is 289941107. The next prime is 289941133. The reversal of 289941120 is 21149982.

It is an interprime number because it is at equal distance from previous prime (289941107) and next prime (289941133).

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168937 + ... + 6168983.

It is an arithmetic number, because the mean of its divisors is an integer number (1999404).

Almost surely, 2^289941120 is an apocalyptic number.

289941120 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 289941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639809280).

289941120 is an abundant number, since it is smaller than the sum of its proper divisors (989677440).

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

289941120 is a wasteful number, since it uses less digits than its factorization.

289941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 289941120 is about 17027.6575018409. The cubic root of 289941120 is about 661.8657948788.

The spelling of 289941120 in words is "two hundred eighty-nine million, nine hundred forty-one thousand, one hundred twenty".