826012116 has 72 divisors (see below), whose sum is σ = 2227889664. Its totient is φ = 257137920.

The previous prime is 826012111. The next prime is 826012127. The reversal of 826012116 is 611210628.

It is a self number, because there is not a number n which added to its sum of digits gives 826012116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75021 + ... + 85323.

It is an arithmetic number, because the mean of its divisors is an integer number (30942912).

Almost surely, 2^826012116 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 826012116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113944832).

826012116 is an abundant number, since it is smaller than the sum of its proper divisors (1401877548).

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

826012116 is a wasteful number, since it uses less digits than its factorization.

826012116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 826012116 is about 28740.4265104052. The cubic root of 826012116 is about 938.2721071860.

The spelling of 826012116 in words is "eight hundred twenty-six million, twelve thousand, one hundred sixteen".