273989664 has 72 divisors (see below), whose sum is σ = 839104812. Its totient is φ = 84303360.

The previous prime is 273989647. The next prime is 273989707. The reversal of 273989664 is 466989372.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 246741264 + 27248400 = 15708^2 + 5220^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 273989664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32847 + ... + 40334.

Almost surely, 2^273989664 is an apocalyptic number.

273989664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

273989664 is an abundant number, since it is smaller than the sum of its proper divisors (565115148).

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

273989664 is a wasteful number, since it uses less digits than its factorization.

273989664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73210 (or 73199 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 273989664 is about 16552.6331440046. The cubic root of 273989664 is about 649.4983616775.

The spelling of 273989664 in words is "two hundred seventy-three million, nine hundred eighty-nine thousand, six hundred sixty-four".