6412164 has 48 divisors (see below), whose sum is σ = 16859136. Its totient is φ = 1879200.

The previous prime is 6412157. The next prime is 6412171. The reversal of 6412164 is 4612146.

It is an interprime number because it is at equal distance from previous prime (6412157) and next prime (6412171).

It is a super-2 number, since 2×6412164² = 82231694325792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 3309 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (351232).

Almost surely, 2^6412164 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 6412164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429568).

6412164 is an abundant number, since it is smaller than the sum of its proper divisors (10446972).

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

6412164 is a wasteful number, since it uses less digits than its factorization.

6412164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1614 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6412164 is about 2532.2251084767. The cubic root of 6412164 is about 185.7811044994.

The spelling of 6412164 in words is "six million, four hundred twelve thousand, one hundred sixty-four".