289899120 has 160 divisors (see below), whose sum is σ = 1051218432. Its totient is φ = 64705536.

The previous prime is 289899119. The next prime is 289899121. The reversal of 289899120 is 21998982.

It is an interprime number because it is at equal distance from previous prime (289899119) and next prime (289899121).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 289899120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289899121) by changing a digit.

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, 70234 + ... + 74246.

Almost surely, 2^289899120 is an apocalyptic number.

289899120 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 289899120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525609216).

289899120 is an abundant number, since it is smaller than the sum of its proper divisors (761319312).

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

289899120 is a wasteful number, since it uses less digits than its factorization.

289899120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 289899120 is about 17026.4241695078. The cubic root of 289899120 is about 661.8338347050.

The spelling of 289899120 in words is "two hundred eighty-nine million, eight hundred ninety-nine thousand, one hundred twenty".