823052664 has 112 divisors (see below), whose sum is σ = 2644447920. Its totient is φ = 235146240.

The previous prime is 823052623. The next prime is 823052669. The reversal of 823052664 is 466250328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823052669) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30744 + ... + 50904.

Almost surely, 2^823052664 is an apocalyptic number.

823052664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823052664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322223960).

823052664 is an abundant number, since it is smaller than the sum of its proper divisors (1821395256).

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

823052664 is a wasteful number, since it uses less digits than its factorization.

823052664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20192 (or 20173 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 823052664 is about 28688.8944366980. The cubic root of 823052664 is about 937.1502131887.

The spelling of 823052664 in words is "eight hundred twenty-three million, fifty-two thousand, six hundred sixty-four".