6873664 has 56 divisors (see below), whose sum is σ = 15890240. Its totient is φ = 2889216.

The previous prime is 6873653. The next prime is 6873673. The reversal of 6873664 is 4663786.

It is a tau number, because it is divible by the number of its divisors (56).

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, 29902 + ... + 30130.

Almost surely, 2^6873664 is an apocalyptic number.

6873664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945120).

6873664 is an abundant number, since it is smaller than the sum of its proper divisors (9016576).

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

6873664 is a wasteful number, since it uses less digits than its factorization.

6873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 6873664 is about 2621.7673428434. The cubic root of 6873664 is about 190.1353052838.

The spelling of 6873664 in words is "six million, eight hundred seventy-three thousand, six hundred sixty-four".