816434688 has 80 divisors (see below), whose sum is σ = 2181641616. Its totient is φ = 271319040.

The previous prime is 816434683. The next prime is 816434699. The reversal of 816434688 is 886434618.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816434683) 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 7 ways as a sum of consecutive naturals, for example, 707520 + ... + 708672.

Almost surely, 2^816434688 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 816434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090820808).

816434688 is an abundant number, since it is smaller than the sum of its proper divisors (1365206928).

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

816434688 is a wasteful number, since it uses less digits than its factorization.

816434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1619 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 816434688 is about 28573.3212630244. The cubic root of 816434688 is about 934.6316480153.

The spelling of 816434688 in words is "eight hundred sixteen million, four hundred thirty-four thousand, six hundred eighty-eight".