861168 has 80 divisors (see below), whose sum is σ = 2785536. Its totient is φ = 222720.

The previous prime is 861167. The next prime is 861191.

861168 is nontrivially palindromic in base 10.

861168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×861168² = 1483220648448, which contains 22 as substring.

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

It is an Ulam number.

Its product of digits (2304) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3580 + ... + 3812.

2⁸⁶¹¹⁶⁸ is an apocalyptic number.

861168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768).

861168 is an abundant number, since it is smaller than the sum of its proper divisors (1924368).

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

861168 is a wasteful number, since it uses less digits than its factorization.

861168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 861168 is about 927.9913792703. The cubic root of 861168 is about 95.1398862543.

The spelling of 861168 in words is "eight hundred sixty-one thousand, one hundred sixty-eight".