833996268 has 288 divisors, whose sum is σ = 2712528000. Its totient is φ = 214953984.

The previous prime is 833996257. The next prime is 833996291. The reversal of 833996268 is 862699338.

833996268 is a `hidden beast` number, since 8 + 3 + 3 + 9 + 9 + 626 + 8 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6087496 + ... + 6087632.

It is an arithmetic number, because the mean of its divisors is an integer number (9418500).

Almost surely, 2^833996268 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 833996268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356264000).

833996268 is an abundant number, since it is smaller than the sum of its proper divisors (1878531732).

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

833996268 is a wasteful number, since it uses less digits than its factorization.

833996268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 833996268 is about 28878.9935420194. The cubic root of 833996268 is about 941.2855009017.

The spelling of 833996268 in words is "eight hundred thirty-three million, nine hundred ninety-six thousand, two hundred sixty-eight".