831634272 has 216 divisors, whose sum is σ = 2841314112. Its totient is φ = 229824000.

The previous prime is 831634261. The next prime is 831634337. The reversal of 831634272 is 272436138.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436522 + ... + 438422.

It is an arithmetic number, because the mean of its divisors is an integer number (13154232).

Almost surely, 2^831634272 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 831634272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420657056).

831634272 is an abundant number, since it is smaller than the sum of its proper divisors (2009679840).

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

831634272 is a wasteful number, since it uses less digits than its factorization.

831634272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1944 counting only the distinct ones).

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

The square root of 831634272 is about 28838.0698383231. The cubic root of 831634272 is about 940.3960425614.

The spelling of 831634272 in words is "eight hundred thirty-one million, six hundred thirty-four thousand, two hundred seventy-two".