823172256 has 144 divisors (see below), whose sum is σ = 2405894400. Its totient is φ = 266872320.

The previous prime is 823172243. The next prime is 823172261. The reversal of 823172256 is 652271328.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×823172256² = 1355225126096259072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 823172256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3037401 + ... + 3037671.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^823172256 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 823172256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

823172256 is an abundant number, since it is smaller than the sum of its proper divisors (1582722144).

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

823172256 is a wasteful number, since it uses less digits than its factorization.

823172256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 823172256 is about 28690.9786518341. The cubic root of 823172256 is about 937.1956012282.

The spelling of 823172256 in words is "eight hundred twenty-three million, one hundred seventy-two thousand, two hundred fifty-six".