6875640 has 96 divisors (see below), whose sum is σ = 22744800. Its totient is φ = 1800960.

The previous prime is 6875623. The next prime is 6875717. The reversal of 6875640 is 465786.

It is a happy number.

6875640 is a `hidden beast` number, since 6 + 8 + 7 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6875595 and 6875604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25426 + ... + 25694.

It is an arithmetic number, because the mean of its divisors is an integer number (236925).

Almost surely, 2^6875640 is an apocalyptic number.

6875640 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 6875640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11372400).

6875640 is an abundant number, since it is smaller than the sum of its proper divisors (15869160).

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

6875640 is a wasteful number, since it uses less digits than its factorization.

6875640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6875640 is about 2622.1441607967. The cubic root of 6875640 is about 190.1535231934.

The spelling of 6875640 in words is "six million, eight hundred seventy-five thousand, six hundred forty".