861444168 has 32 divisors (see below), whose sum is σ = 2319273600. Its totient is φ = 265059648.

The previous prime is 861444167. The next prime is 861444169.

861444168 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (861444167) and next prime (861444169).

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

It is not an unprimeable number, because it can be changed into a prime (861444163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1380208 + ... + 1380831.

It is an arithmetic number, because the mean of its divisors is an integer number (72477300).

Almost surely, 2^861444168 is an apocalyptic number.

It is an amenable number.

861444168 is an abundant number, since it is smaller than the sum of its proper divisors (1457829432).

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

861444168 is a wasteful number, since it uses less digits than its factorization.

861444168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761061 (or 2761057 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 861444168 is about 29350.3691288542. The cubic root of 861444168 is about 951.5005530533.

The spelling of 861444168 in words is "eight hundred sixty-one million, four hundred forty-four thousand, one hundred sixty-eight".