289901664 has 72 divisors (see below), whose sum is σ = 887835312. Its totient is φ = 89199360.

The previous prime is 289901609. The next prime is 289901699. The reversal of 289901664 is 466109982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 6.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 34972 + ... + 42459.

It is an arithmetic number, because the mean of its divisors is an integer number (12331046).

Almost surely, 2^289901664 is an apocalyptic number.

289901664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

289901664 is an abundant number, since it is smaller than the sum of its proper divisors (597933648).

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

289901664 is a wasteful number, since it uses less digits than its factorization.

289901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77460 (or 77449 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 289901664 is about 17026.4988767509. The cubic root of 289901664 is about 661.8357706662.

The spelling of 289901664 in words is "two hundred eighty-nine million, nine hundred one thousand, six hundred sixty-four".