861434112 has 216 divisors, whose sum is σ = 2910835872. Its totient is φ = 223641600.

The previous prime is 861434089. The next prime is 861434129. The reversal of 861434112 is 211434168.

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

It is a self number, because there is not a number n which added to its sum of digits gives 861434112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412912 + ... + 414992.

It is an arithmetic number, because the mean of its divisors is an integer number (13476092).

Almost surely, 2^861434112 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 861434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455417936).

861434112 is an abundant number, since it is smaller than the sum of its proper divisors (2049401760).

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

861434112 is a wasteful number, since it uses less digits than its factorization.

861434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2104 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 861434112 is about 29350.1978187541. The cubic root of 861434112 is about 951.4968506169.

The spelling of 861434112 in words is "eight hundred sixty-one million, four hundred thirty-four thousand, one hundred twelve".