6873630 has 64 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 1676160.

The previous prime is 6873613. The next prime is 6873641. The reversal of 6873630 is 363786.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6873591 and 6873600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17476 + ... + 17864.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 2^6873630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6873630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985600).

6873630 is an abundant number, since it is smaller than the sum of its proper divisors (11097570).

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

6873630 is a wasteful number, since it uses less digits than its factorization.

6873630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 6873630 is about 2621.7608586597. The cubic root of 6873630 is about 190.1349917872.

It can be divided in two parts, 6873 and 630, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 6873630 in words is "six million, eight hundred seventy-three thousand, six hundred thirty".