6834720 has 96 divisors (see below), whose sum is σ = 22317120. Its totient is φ = 1756160.

The previous prime is 6834701. The next prime is 6834739. The reversal of 6834720 is 274386.

It is an interprime number because it is at equal distance from previous prime (6834701) and next prime (6834739).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13675 + ... + 14165.

It is an arithmetic number, because the mean of its divisors is an integer number (232470).

Almost surely, 2^6834720 is an apocalyptic number.

6834720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158560).

6834720 is an abundant number, since it is smaller than the sum of its proper divisors (15482400).

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

6834720 is a wasteful number, since it uses less digits than its factorization.

6834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6834720 is about 2614.3297420180. The cubic root of 6834720 is about 189.7755428822.

The spelling of 6834720 in words is "six million, eight hundred thirty-four thousand, seven hundred twenty".