6861744 has 60 divisors (see below), whose sum is σ = 20340216. Its totient is φ = 2151936.

The previous prime is 6861737. The next prime is 6861769. The reversal of 6861744 is 4471686.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6861699 and 6861708.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1047 + ... + 3849.

Almost surely, 2^6861744 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 6861744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10170108).

6861744 is an abundant number, since it is smaller than the sum of its proper divisors (13478472).

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

6861744 is a wasteful number, since it uses less digits than its factorization.

6861744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2825 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6861744 is about 2619.4930807315. The cubic root of 6861744 is about 190.0253336488.

The spelling of 6861744 in words is "six million, eight hundred sixty-one thousand, seven hundred forty-four".