826041216 has 384 divisors, whose sum is σ = 3008396160. Its totient is φ = 197406720.

The previous prime is 826041197. The next prime is 826041217. The reversal of 826041216 is 612140628.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826041217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690535 + ... + 2690841.

It is an arithmetic number, because the mean of its divisors is an integer number (7834365).

Almost surely, 2^826041216 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 826041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504198080).

826041216 is an abundant number, since it is smaller than the sum of its proper divisors (2182354944).

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

826041216 is a wasteful number, since it uses less digits than its factorization.

826041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 826041216 is about 28740.9327614815. The cubic root of 826041216 is about 938.2831253446.

The spelling of 826041216 in words is "eight hundred twenty-six million, forty-one thousand, two hundred sixteen".