832011264 has 220 divisors, whose sum is σ = 2841465264. Its totient is φ = 237551616.

The previous prime is 832011259. The next prime is 832011329. The reversal of 832011264 is 462110238.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579892 + ... + 581324.

Almost surely, 2^832011264 is an apocalyptic number.

832011264 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 832011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420732632).

832011264 is an abundant number, since it is smaller than the sum of its proper divisors (2009454000).

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

832011264 is a wasteful number, since it uses less digits than its factorization.

832011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 832011264 is about 28844.6054575201. The cubic root of 832011264 is about 940.5381195297.

The spelling of 832011264 in words is "eight hundred thirty-two million, eleven thousand, two hundred sixty-four".