6828990 has 64 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 1509120.

The previous prime is 6828989. The next prime is 6829033. The reversal of 6828990 is 998286.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5986 + ... + 7034.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^6828990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

6828990 is an abundant number, since it is smaller than the sum of its proper divisors (12524610).

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

6828990 is a wasteful number, since it uses less digits than its factorization.

6828990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097.

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 6828990 is about 2613.2336290504. The cubic root of 6828990 is about 189.7224942381.

The spelling of 6828990 in words is "six million, eight hundred twenty-eight thousand, nine hundred ninety".