823068972 has 96 divisors (see below), whose sum is σ = 2403072000. Its totient is φ = 241358400.

The previous prime is 823068943. The next prime is 823069001. The reversal of 823068972 is 279860328.

It is an interprime number because it is at equal distance from previous prime (823068943) and next prime (823069001).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25654 + ... + 48002.

It is an arithmetic number, because the mean of its divisors is an integer number (25032000).

Almost surely, 2^823068972 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 823068972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201536000).

823068972 is an abundant number, since it is smaller than the sum of its proper divisors (1580003028).

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

823068972 is a wasteful number, since it uses less digits than its factorization.

823068972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22404 (or 22396 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 823068972 is about 28689.1786567688. The cubic root of 823068972 is about 937.1564027257.

The spelling of 823068972 in words is "eight hundred twenty-three million, sixty-eight thousand, nine hundred seventy-two".