826864416 has 144 divisors (see below), whose sum is σ = 2805576480. Its totient is φ = 236234880.

The previous prime is 826864391. The next prime is 826864417. The reversal of 826864416 is 614468628.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (826864417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32571 + ... + 52101.

It is an arithmetic number, because the mean of its divisors is an integer number (19483170).

Almost surely, 2^826864416 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 826864416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402788240).

826864416 is an abundant number, since it is smaller than the sum of its proper divisors (1978712064).

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

826864416 is a wasteful number, since it uses less digits than its factorization.

826864416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19564 (or 19543 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 826864416 is about 28755.2502336530. The cubic root of 826864416 is about 938.5947071465.

The spelling of 826864416 in words is "eight hundred twenty-six million, eight hundred sixty-four thousand, four hundred sixteen".