289219120 has 40 divisors (see below), whose sum is σ = 676746864. Its totient is φ = 114945792.

The previous prime is 289219097. The next prime is 289219127. The reversal of 289219120 is 21912982.

289219120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (289219127) 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 7 ways as a sum of consecutive naturals, for example, 1047 + ... + 24073.

Almost surely, 2^289219120 is an apocalyptic number.

289219120 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 289219120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338373432).

289219120 is an abundant number, since it is smaller than the sum of its proper divisors (387527744).

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

289219120 is a wasteful number, since it uses less digits than its factorization.

289219120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23197 (or 23191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 289219120 is about 17006.4434847501. The cubic root of 289219120 is about 661.3159541515.

The spelling of 289219120 in words is "two hundred eighty-nine million, two hundred nineteen thousand, one hundred twenty".