6820740 has 96 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 1709568.

The previous prime is 6820739. The next prime is 6820741. The reversal of 6820740 is 470286.

It is an interprime number because it is at equal distance from previous prime (6820739) and next prime (6820741).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6820741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8809 + ... + 9551.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^6820740 is an apocalyptic number.

6820740 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 6820740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

6820740 is an abundant number, since it is smaller than the sum of its proper divisors (15677820).

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

6820740 is a wasteful number, since it uses less digits than its factorization.

6820740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6820740 is about 2611.6546479196. The cubic root of 6820740 is about 189.6460631551.

The spelling of 6820740 in words is "six million, eight hundred twenty thousand, seven hundred forty".