864191664 has 60 divisors (see below), whose sum is σ = 2764044816. Its totient is φ = 246911616.

The previous prime is 864191633. The next prime is 864191689. The reversal of 864191664 is 466191468.

It is a nude number because it is divisible by every one of its digits.

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, 427659 + ... + 429674.

Almost surely, 2^864191664 is an apocalyptic number.

864191664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

864191664 is an abundant number, since it is smaller than the sum of its proper divisors (1899853152).

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

864191664 is a wasteful number, since it uses less digits than its factorization.

864191664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857354 (or 857345 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 864191664 is about 29397.1370034566. The cubic root of 864191664 is about 952.5110536672.

The spelling of 864191664 in words is "eight hundred sixty-four million, one hundred ninety-one thousand, six hundred sixty-four".