289135980 has 168 divisors, whose sum is σ = 1040780832. Its totient is φ = 66064896.

The previous prime is 289135961. The next prime is 289135981. The reversal of 289135980 is 89531982.

It is a happy number.

It is a super-2 number, since 2×289135980² = 167199229861120800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (289135981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 100644 + ... + 103476.

It is an arithmetic number, because the mean of its divisors is an integer number (6195124).

Almost surely, 2^289135980 is an apocalyptic number.

289135980 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 289135980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520390416).

289135980 is an abundant number, since it is smaller than the sum of its proper divisors (751644852).

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

289135980 is a wasteful number, since it uses less digits than its factorization.

289135980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 289135980 is about 17003.9989414255. The cubic root of 289135980 is about 661.2525799669.

The spelling of 289135980 in words is "two hundred eighty-nine million, one hundred thirty-five thousand, nine hundred eighty".