289295664 has 80 divisors (see below), whose sum is σ = 904370688. Its totient is φ = 77792256.

The previous prime is 289295663. The next prime is 289295687. The reversal of 289295664 is 466592982.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (289295663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19612 + ... + 31035.

Almost surely, 2^289295664 is an apocalyptic number.

289295664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

289295664 is an abundant number, since it is smaller than the sum of its proper divisors (615075024).

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

289295664 is a wasteful number, since it uses less digits than its factorization.

289295664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50682 (or 50676 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 289295664 is about 17008.6937770071. The cubic root of 289295664 is about 661.3742897408.

The spelling of 289295664 in words is "two hundred eighty-nine million, two hundred ninety-five thousand, six hundred sixty-four".