6742944 has 72 divisors (see below), whose sum is σ = 20661732. Its totient is φ = 2073600.

The previous prime is 6742921. The next prime is 6742951. The reversal of 6742944 is 4492476.

It can be written as a sum of positive squares in 2 ways, for example, as 5702544 + 1040400 = 2388^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 6⁸ + 7⁵ + 4⁴ + 2⁷ + 9⁷ + 4⁵ + 4⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 6742899 and 6742908.

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, 2844 + ... + 4644.

Almost surely, 2^6742944 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 6742944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330866).

6742944 is an abundant number, since it is smaller than the sum of its proper divisors (13918788).

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

6742944 is a wasteful number, since it uses less digits than its factorization.

6742944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1819 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6742944 is about 2596.7179284628. The cubic root of 6742944 is about 188.9222826516.

The spelling of 6742944 in words is "six million, seven hundred forty-two thousand, nine hundred forty-four".