6873936 has 40 divisors (see below), whose sum is σ = 18016704. Its totient is φ = 2257920.

The previous prime is 6873929. The next prime is 6873943. The reversal of 6873936 is 6393786.

It is an interprime number because it is at equal distance from previous prime (6873929) and next prime (6873943).

It is a super-2 number, since 2×6873936² = 94501992264192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2400 + ... + 4416.

Almost surely, 2^6873936 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 6873936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008352).

6873936 is an abundant number, since it is smaller than the sum of its proper divisors (11142768).

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

6873936 is a wasteful number, since it uses less digits than its factorization.

6873936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2093 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 6873936 is about 2621.8192157355. The cubic root of 6873936 is about 190.1378132195.

The spelling of 6873936 in words is "six million, eight hundred seventy-three thousand, nine hundred thirty-six".