6826890 has 128 divisors (see below), whose sum is σ = 20736000. Its totient is φ = 1403136.

The previous prime is 6826873. The next prime is 6826901. The reversal of 6826890 is 986286.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115681 + ... + 115739.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^6826890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6826890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368000).

6826890 is an abundant number, since it is smaller than the sum of its proper divisors (13909110).

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

6826890 is a wasteful number, since it uses less digits than its factorization.

6826890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 6826890 is about 2612.8317971121. The cubic root of 6826890 is about 189.7030448962.

The spelling of 6826890 in words is "six million, eight hundred twenty-six thousand, eight hundred ninety".