833355264 has 160 divisors (see below), whose sum is σ = 2557336320. Its totient is φ = 236224512.

The previous prime is 833355247. The next prime is 833355287. The reversal of 833355264 is 462553338.

833355264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (259200) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924392 + ... + 1924824.

It is an arithmetic number, because the mean of its divisors is an integer number (15983352).

Almost surely, 2^833355264 is an apocalyptic number.

833355264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278668160).

833355264 is an abundant number, since it is smaller than the sum of its proper divisors (1723981056).

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

833355264 is a wasteful number, since it uses less digits than its factorization.

833355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 624 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 833355264 is about 28867.8933072713. The cubic root of 833355264 is about 941.0442838276.

The spelling of 833355264 in words is "eight hundred thirty-three million, three hundred fifty-five thousand, two hundred sixty-four".