816212832 has 96 divisors (see below), whose sum is σ = 2183086080. Its totient is φ = 266972160.

The previous prime is 816212821. The next prime is 816212843. The reversal of 816212832 is 238212618.

It is an interprime number because it is at equal distance from previous prime (816212821) and next prime (816212843).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 816212793 and 816212802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130913 + ... + 2131295.

It is an arithmetic number, because the mean of its divisors is an integer number (22740480).

Almost surely, 2^816212832 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 816212832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091543040).

816212832 is an abundant number, since it is smaller than the sum of its proper divisors (1366873248).

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

816212832 is a wasteful number, since it uses less digits than its factorization.

816212832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 816212832 is about 28569.4387764268. The cubic root of 816212832 is about 934.5469821600.

The spelling of 816212832 in words is "eight hundred sixteen million, two hundred twelve thousand, eight hundred thirty-two".