6857216 has 40 divisors (see below), whose sum is σ = 13994640. Its totient is φ = 3355648.

The previous prime is 6857203. The next prime is 6857219. The reversal of 6857216 is 6127586.

It is a super-2 number, since 2×6857216² = 94042822541312, which contains 22 as substring.

Its product of digits (20160) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6857219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30095 + ... + 30321.

It is an arithmetic number, because the mean of its divisors is an integer number (349866).

Almost surely, 2^6857216 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 6857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997320).

6857216 is an abundant number, since it is smaller than the sum of its proper divisors (7137424).

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

6857216 is an equidigital number, since it uses as much as digits as its factorization.

6857216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 6857216 is about 2618.6286487396. The cubic root of 6857216 is about 189.9835258108.

The spelling of 6857216 in words is "six million, eight hundred fifty-seven thousand, two hundred sixteen".