811463664 has 160 divisors (see below), whose sum is σ = 2369562624. Its totient is φ = 237162240.

The previous prime is 811463659. The next prime is 811463699. The reversal of 811463664 is 466364118.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2338339 + ... + 2338685.

Almost surely, 2^811463664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811463664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184781312).

811463664 is an abundant number, since it is smaller than the sum of its proper divisors (1558098960).

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

811463664 is a wasteful number, since it uses less digits than its factorization.

811463664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 811463664 is about 28486.2012911515. The cubic root of 811463664 is about 932.7308885439.

The spelling of 811463664 in words is "eight hundred eleven million, four hundred sixty-three thousand, six hundred sixty-four".