814829568 has 104 divisors (see below), whose sum is σ = 2483249088. Its totient is φ = 232783872.

The previous prime is 814829527. The next prime is 814829569. The reversal of 814829568 is 865928418.

It is a self number, because there is not a number n which added to its sum of digits gives 814829568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814829569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81280 + ... + 90752.

Almost surely, 2^814829568 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 814829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241624544).

814829568 is an abundant number, since it is smaller than the sum of its proper divisors (1668419520).

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

814829568 is an equidigital number, since it uses as much as digits as its factorization.

814829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9507 (or 9485 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 814829568 is about 28545.2197048823. The cubic root of 814829568 is about 934.0187473215.

The spelling of 814829568 in words is "eight hundred fourteen million, eight hundred twenty-nine thousand, five hundred sixty-eight".