6842736 has 120 divisors (see below), whose sum is σ = 20988240. Its totient is φ = 2073600.

The previous prime is 6842729. The next prime is 6842741. The reversal of 6842736 is 6372486.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

Its product of digits (48384) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 6842736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112146 + ... + 112206.

It is an arithmetic number, because the mean of its divisors is an integer number (174902).

Almost surely, 2^6842736 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 6842736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120).

6842736 is an abundant number, since it is smaller than the sum of its proper divisors (14145504).

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

6842736 is a wasteful number, since it uses less digits than its factorization.

6842736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

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

The square root of 6842736 is about 2615.8623817013. The cubic root of 6842736 is about 189.8497057066.

It can be divided in two parts, 684 and 2736, that multiplied together give a square (1871424 = 1368²).

The spelling of 6842736 in words is "six million, eight hundred forty-two thousand, seven hundred thirty-six".