289601820 has 72 divisors (see below), whose sum is σ = 883026144. Its totient is φ = 76825728.

The previous prime is 289601803. The next prime is 289601821. The reversal of 289601820 is 28106982.

289601820 is a `hidden beast` number, since 28 + 9 + 601 + 8 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289601821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31377 + ... + 39543.

It is an arithmetic number, because the mean of its divisors is an integer number (12264252).

Almost surely, 2^289601820 is an apocalyptic number.

289601820 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 289601820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441513072).

289601820 is an abundant number, since it is smaller than the sum of its proper divisors (593424324).

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

289601820 is a wasteful number, since it uses less digits than its factorization.

289601820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 289601820 is about 17017.6913827934. The cubic root of 289601820 is about 661.6075140231.

The spelling of 289601820 in words is "two hundred eighty-nine million, six hundred one thousand, eight hundred twenty".