6840768 has 112 divisors (see below), whose sum is σ = 20482560. Its totient is φ = 1996800.

The previous prime is 6840761. The next prime is 6840793. The reversal of 6840768 is 8670486.

It is a super-2 number, since 2×6840768² = 93592213659648, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6840761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86553 + ... + 86631.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^6840768 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 6840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280).

6840768 is an abundant number, since it is smaller than the sum of its proper divisors (13641792).

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

6840768 is a wasteful number, since it uses less digits than its factorization.

6840768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6840768 is about 2615.4861880729. The cubic root of 6840768 is about 189.8315034336.

The spelling of 6840768 in words is "six million, eight hundred forty thousand, seven hundred sixty-eight".