832121136 has 360 divisors, whose sum is σ = 3016735488. Its totient is φ = 211680000.

The previous prime is 832121077. The next prime is 832121153. The reversal of 832121136 is 631121238.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5510661 + ... + 5510811.

Almost surely, 2^832121136 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 832121136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508367744).

832121136 is an abundant number, since it is smaller than the sum of its proper divisors (2184614352).

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

832121136 is a wasteful number, since it uses less digits than its factorization.

832121136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 832121136 is about 28846.5099448789. The cubic root of 832121136 is about 940.5795189114.

It can be divided in two parts, 83212 and 1136, that added together give a palindrome (84348).

The spelling of 832121136 in words is "eight hundred thirty-two million, one hundred twenty-one thousand, one hundred thirty-six".