6825208 has 64 divisors (see below), whose sum is σ = 14918400. Its totient is φ = 2903040.

The previous prime is 6825197. The next prime is 6825233. The reversal of 6825208 is 8025286.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 6825208.

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, 93460 + ... + 93532.

It is an arithmetic number, because the mean of its divisors is an integer number (233100).

Almost surely, 2^6825208 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 6825208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459200).

6825208 is an abundant number, since it is smaller than the sum of its proper divisors (8093192).

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

6825208 is a wasteful number, since it uses less digits than its factorization.

6825208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 6825208 is about 2612.5099042874. The cubic root of 6825208 is about 189.6874640226.

The spelling of 6825208 in words is "six million, eight hundred twenty-five thousand, two hundred eight".