861744 has 40 divisors (see below), whose sum is σ = 2399152. Its totient is φ = 264960.

The previous prime is 861743. The next prime is 861761. The reversal of 861744 is 447168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861743) 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, 67 + ... + 1314.

2⁸⁶¹⁷⁴⁴ 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 861744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199576).

861744 is an abundant number, since it is smaller than the sum of its proper divisors (1537408).

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

861744 is a wasteful number, since it uses less digits than its factorization.

861744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 861744 is about 928.3016751035. The cubic root of 861744 is about 95.1610932511.

It can be divided in two parts, 86 and 1744, that added together give a triangular number (1830 = T₆₀).

The spelling of 861744 in words is "eight hundred sixty-one thousand, seven hundred forty-four".