861940368 has 120 divisors (see below), whose sum is σ = 2502339840. Its totient is φ = 276675840.

The previous prime is 861940333. The next prime is 861940369. The reversal of 861940368 is 863049168.

It is not an unprimeable number, because it can be changed into a prime (861940369) by changing a digit.

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, 1307623 + ... + 1308281.

It is an arithmetic number, because the mean of its divisors is an integer number (20852832).

Almost surely, 2^861940368 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 861940368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251169920).

861940368 is an abundant number, since it is smaller than the sum of its proper divisors (1640399472).

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

861940368 is a wasteful number, since it uses less digits than its factorization.

861940368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 861940368 is about 29358.8209572524. The cubic root of 861940368 is about 951.6832090975.

The spelling of 861940368 in words is "eight hundred sixty-one million, nine hundred forty thousand, three hundred sixty-eight".