289891120 has 20 divisors (see below), whose sum is σ = 673997040. Its totient is φ = 115956416.

The previous prime is 289891097. The next prime is 289891127. The reversal of 289891120 is 21198982.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×289891120² = 168073722909708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (289891127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1811740 + ... + 1811899.

It is an arithmetic number, because the mean of its divisors is an integer number (33699852).

Almost surely, 2^289891120 is an apocalyptic number.

289891120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289891120 is an abundant number, since it is smaller than the sum of its proper divisors (384105920).

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

289891120 is a wasteful number, since it uses less digits than its factorization.

289891120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623652 (or 3623646 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 289891120 is about 17026.1892389342. The cubic root of 289891120 is about 661.8277467028.

The spelling of 289891120 in words is "two hundred eighty-nine million, eight hundred ninety-one thousand, one hundred twenty".