6825180 has 48 divisors (see below), whose sum is σ = 20119680. Its totient is φ = 1723968.

The previous prime is 6825167. The next prime is 6825193. The reversal of 6825180 is 815286.

It is an interprime number because it is at equal distance from previous prime (6825167) and next prime (6825193).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854 + ... + 4133.

It is an arithmetic number, because the mean of its divisors is an integer number (419160).

Almost surely, 2^6825180 is an apocalyptic number.

6825180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6825180 is an abundant number, since it is smaller than the sum of its proper divisors (13294500).

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

6825180 is a wasteful number, since it uses less digits than its factorization.

6825180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 6825180 is about 2612.5045454506. The cubic root of 6825180 is about 189.6872046285.

The spelling of 6825180 in words is "six million, eight hundred twenty-five thousand, one hundred eighty".