833127264 has 144 divisors (see below), whose sum is σ = 2461717440. Its totient is φ = 267079680.

The previous prime is 833127241. The next prime is 833127271. The reversal of 833127264 is 462721338.

It is a happy number.

833127264 is a `hidden beast` number, since 83 + 312 + 7 + 264 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825192 + ... + 826200.

It is an arithmetic number, because the mean of its divisors is an integer number (17095260).

Almost surely, 2^833127264 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 833127264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230858720).

833127264 is an abundant number, since it is smaller than the sum of its proper divisors (1628590176).

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

833127264 is a wasteful number, since it uses less digits than its factorization.

833127264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 833127264 is about 28863.9440132495. The cubic root of 833127264 is about 940.9584550196.

The spelling of 833127264 in words is "eight hundred thirty-three million, one hundred twenty-seven thousand, two hundred sixty-four".