6825400 has 24 divisors (see below), whose sum is σ = 15869520. Its totient is φ = 2730080.

The previous prime is 6825397. The next prime is 6825407. The reversal of 6825400 is 45286.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16864 + ... + 17263.

It is an arithmetic number, because the mean of its divisors is an integer number (661230).

Almost surely, 2^6825400 is an apocalyptic number.

It is an amenable number.

6825400 is an abundant number, since it is smaller than the sum of its proper divisors (9044120).

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

6825400 is a wasteful number, since it uses less digits than its factorization.

6825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34143 (or 34134 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 6825400 is about 2612.5466503012. The cubic root of 6825400 is about 189.6892427060.

It can be divided in two parts, 6825 and 400, that added together give a square (7225 = 85²).

The spelling of 6825400 in words is "six million, eight hundred twenty-five thousand, four hundred".