832111434 has 288 divisors, whose sum is σ = 2488993920. Its totient is φ = 204906240.

The previous prime is 832111421. The next prime is 832111459. The reversal of 832111434 is 434111238.

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

It is a junction number, because it is equal to n+sod(n) for n = 832111398 and 832111407.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7363762 + ... + 7363874.

It is an arithmetic number, because the mean of its divisors is an integer number (8642340).

Almost surely, 2^832111434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832111434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244496960).

832111434 is an abundant number, since it is smaller than the sum of its proper divisors (1656882486).

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

832111434 is a wasteful number, since it uses less digits than its factorization.

832111434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

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

The square root of 832111434 is about 28846.3417784647. The cubic root of 832111434 is about 940.5758633788.

The spelling of 832111434 in words is "eight hundred thirty-two million, one hundred eleven thousand, four hundred thirty-four".