6825720 has 64 divisors (see below), whose sum is σ = 22343040. Its totient is φ = 1654400.

The previous prime is 6825703. The next prime is 6825737. The reversal of 6825720 is 275286.

6825720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6825703) and next prime (6825737).

It is a Smith number, since the sum of its digits (30) 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 (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1266 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (349110).

Almost surely, 2^6825720 is an apocalyptic number.

6825720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6825720 is an abundant number, since it is smaller than the sum of its proper divisors (15517320).

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

6825720 is a wasteful number, since it uses less digits than its factorization.

6825720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6825720 is about 2612.6078925089. The cubic root of 6825720 is about 189.6922071041.

The spelling of 6825720 in words is "six million, eight hundred twenty-five thousand, seven hundred twenty".