6832164 has 48 divisors (see below), whose sum is σ = 17091648. Its totient is φ = 2116608.

The previous prime is 6832159. The next prime is 6832187. The reversal of 6832164 is 4612386.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21672 + ... + 21984.

It is an arithmetic number, because the mean of its divisors is an integer number (356076).

Almost surely, 2^6832164 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 6832164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545824).

6832164 is an abundant number, since it is smaller than the sum of its proper divisors (10259484).

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

6832164 is a wasteful number, since it uses less digits than its factorization.

6832164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 442 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 6832164 is about 2613.8408520796. The cubic root of 6832164 is about 189.7518829630.

It can be divided in two parts, 6832 and 164, that added together give a palindrome (6996).

The spelling of 6832164 in words is "six million, eight hundred thirty-two thousand, one hundred sixty-four".