6857280 has 84 divisors (see below), whose sum is σ = 23596092. Its totient is φ = 1827840.

The previous prime is 6857269. The next prime is 6857281. The reversal of 6857280 is 827586.

6857280 is a `hidden beast` number, since 6 + 8 + 572 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 6110784 = 864^2 + 2472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (6857281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1690 + ... + 4070.

Almost surely, 2^6857280 is an apocalyptic number.

6857280 is a gapful number since it is divisible by the number (60) 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 6857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11798046).

6857280 is an abundant number, since it is smaller than the sum of its proper divisors (16738812).

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

6857280 is a wasteful number, since it uses less digits than its factorization.

6857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6857280 is about 2618.6408688478. The cubic root of 6857280 is about 189.9841168625.

The spelling of 6857280 in words is "six million, eight hundred fifty-seven thousand, two hundred eighty".