289199680 has 224 divisors, whose sum is σ = 874605312. Its totient is φ = 89210880.

The previous prime is 289199621. The next prime is 289199693. The reversal of 289199680 is 86991982.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2981392 + ... + 2981488.

It is an arithmetic number, because the mean of its divisors is an integer number (3904488).

Almost surely, 2^289199680 is an apocalyptic number.

289199680 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 289199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437302656).

289199680 is an abundant number, since it is smaller than the sum of its proper divisors (585405632).

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

289199680 is an equidigital number, since it uses as much as digits as its factorization.

289199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The square root of 289199680 is about 17005.8719270727. The cubic root of 289199680 is about 661.3011369312.

The spelling of 289199680 in words is "two hundred eighty-nine million, one hundred ninety-nine thousand, six hundred eighty".