861144 has 32 divisors (see below), whose sum is σ = 2196720. Its totient is φ = 281216.

The previous prime is 861139. The next prime is 861163. The reversal of 861144 is 441168.

861144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 861144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 934 + ... + 1610.

2⁸⁶¹¹⁴⁴ 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 861144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098360).

861144 is an abundant number, since it is smaller than the sum of its proper divisors (1335576).

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

861144 is a wasteful number, since it uses less digits than its factorization.

861144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 861144 is about 927.9784480256. The cubic root of 861144 is about 95.1390024243.

Adding to 861144 its sum of digits (24), we get a palindrome (861168).

The spelling of 861144 in words is "eight hundred sixty-one thousand, one hundred forty-four".