6828630 has 64 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1710464.

The previous prime is 6828623. The next prime is 6828641. The reversal of 6828630 is 368286.

It is a junction number, because it is equal to n+sod(n) for n = 6828591 and 6828600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40807 + ... + 40973.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^6828630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

6828630 is an abundant number, since it is smaller than the sum of its proper divisors (10589610).

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

6828630 is a wasteful number, since it uses less digits than its factorization.

6828630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6828630 is about 2613.1647479637. The cubic root of 6828630 is about 189.7191603484.

The spelling of 6828630 in words is "six million, eight hundred twenty-eight thousand, six hundred thirty".