6857664 has 112 divisors (see below), whose sum is σ = 21067776. Its totient is φ = 1945600.

The previous prime is 6857639. The next prime is 6857671. The reversal of 6857664 is 4667586.

It is a happy number.

Its product of digits (241920) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

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, 35809 + ... + 35999.

Almost surely, 2^6857664 is an apocalyptic number.

6857664 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 6857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533888).

6857664 is an abundant number, since it is smaller than the sum of its proper divisors (14210112).

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

6857664 is a wasteful number, since it uses less digits than its factorization.

6857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 6857664 is about 2618.7141882993. The cubic root of 6857664 is about 189.9876630956.

The spelling of 6857664 in words is "six million, eight hundred fifty-seven thousand, six hundred sixty-four".