819236964 has 72 divisors (see below), whose sum is σ = 2365648320. Its totient is φ = 216058752.

The previous prime is 819236963. The next prime is 819236983. The reversal of 819236964 is 469632918.

It is a super-2 number, since 2×819236964² = 1342298406367874592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819236963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14659 + ... + 43050.

Almost surely, 2^819236964 is an apocalyptic number.

819236964 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

819236964 is an abundant number, since it is smaller than the sum of its proper divisors (1546411356).

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

819236964 is a wasteful number, since it uses less digits than its factorization.

819236964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57749 (or 57734 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 819236964 is about 28622.3158392189. The cubic root of 819236964 is about 935.6997493747.

The spelling of 819236964 in words is "eight hundred nineteen million, two hundred thirty-six thousand, nine hundred sixty-four".