6873516 has 72 divisors (see below), whose sum is σ = 19721520. Its totient is φ = 2001024.

The previous prime is 6873473. The next prime is 6873521. The reversal of 6873516 is 6153786.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 8506 + ... + 9278.

It is an arithmetic number, because the mean of its divisors is an integer number (273910).

Almost surely, 2^6873516 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 6873516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9860760).

6873516 is an abundant number, since it is smaller than the sum of its proper divisors (12848004).

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

6873516 is a wasteful number, since it uses less digits than its factorization.

6873516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 810 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 6873516 is about 2621.7391174562. The cubic root of 6873516 is about 190.1339406440.

The spelling of 6873516 in words is "six million, eight hundred seventy-three thousand, five hundred sixteen".