6857680 has 40 divisors (see below), whose sum is σ = 16641792. Its totient is φ = 2623104.

The previous prime is 6857671. The next prime is 6857687. The reversal of 6857680 is 867586.

6857680 = 535² + 536² + ... + 557².

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6857687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 3703.

Almost surely, 2^6857680 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 6857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8320896).

6857680 is an abundant number, since it is smaller than the sum of its proper divisors (9784112).

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

6857680 is a wasteful number, since it uses less digits than its factorization.

6857680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 6857680 is about 2618.7172432319. The cubic root of 6857680 is about 189.9878108524.

The spelling of 6857680 in words is "six million, eight hundred fifty-seven thousand, six hundred eighty".