823742664 has 64 divisors (see below), whose sum is σ = 2131530240. Its totient is φ = 265006080.

The previous prime is 823742659. The next prime is 823742671. The reversal of 823742664 is 466247328.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 320874 + ... + 323430.

It is an arithmetic number, because the mean of its divisors is an integer number (33305160).

Almost surely, 2^823742664 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 823742664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065765120).

823742664 is an abundant number, since it is smaller than the sum of its proper divisors (1307787576).

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

823742664 is a wasteful number, since it uses less digits than its factorization.

823742664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3026 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 823742664 is about 28700.9174766243. The cubic root of 823742664 is about 937.4120243134.

The spelling of 823742664 in words is "eight hundred twenty-three million, seven hundred forty-two thousand, six hundred sixty-four".