836134272 has 256 divisors, whose sum is σ = 2630131200. Its totient is φ = 260941824.

The previous prime is 836134267. The next prime is 836134289. The reversal of 836134272 is 272431638.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (48384) is a multiple of the sum of its prime divisors (252).

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 31 ways as a sum of consecutive naturals, for example, 5325618 + ... + 5325774.

It is an arithmetic number, because the mean of its divisors is an integer number (10273950).

Almost surely, 2^836134272 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 836134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315065600).

836134272 is an abundant number, since it is smaller than the sum of its proper divisors (1793996928).

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

836134272 is a wasteful number, since it uses less digits than its factorization.

836134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

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

The square root of 836134272 is about 28915.9864434883. The cubic root of 836134272 is about 942.0891635346.

The spelling of 836134272 in words is "eight hundred thirty-six million, one hundred thirty-four thousand, two hundred seventy-two".