289342020 has 96 divisors (see below), whose sum is σ = 888652800. Its totient is φ = 69759360.

The previous prime is 289341991. The next prime is 289342063. The reversal of 289342020 is 20243982.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130239 + ... + 132441.

It is an arithmetic number, because the mean of its divisors is an integer number (9256800).

Almost surely, 2^289342020 is an apocalyptic number.

289342020 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 289342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444326400).

289342020 is an abundant number, since it is smaller than the sum of its proper divisors (599310780).

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

289342020 is a wasteful number, since it uses less digits than its factorization.

289342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 289342020 is about 17010.0564372961. The cubic root of 289342020 is about 661.4096134978.

The spelling of 289342020 in words is "two hundred eighty-nine million, three hundred forty-two thousand, twenty".