823971072 has 144 divisors (see below), whose sum is σ = 2309948928. Its totient is φ = 260382720.

The previous prime is 823971061. The next prime is 823971073. The reversal of 823971072 is 270179328.

It is a self number, because there is not a number n which added to its sum of digits gives 823971072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823971073) 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 15 ways as a sum of consecutive naturals, for example, 1261498 + ... + 1262150.

It is an arithmetic number, because the mean of its divisors is an integer number (16041312).

Almost surely, 2^823971072 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 823971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154974464).

823971072 is an abundant number, since it is smaller than the sum of its proper divisors (1485977856).

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

823971072 is a wasteful number, since it uses less digits than its factorization.

823971072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 823971072 is about 28704.8963070763. The cubic root of 823971072 is about 937.4986584159.

The spelling of 823971072 in words is "eight hundred twenty-three million, nine hundred seventy-one thousand, seventy-two".