6871920 has 160 divisors (see below), whose sum is σ = 24641280. Its totient is φ = 1566720.

The previous prime is 6871913. The next prime is 6871933. The reversal of 6871920 is 291786.

6871920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50092 + ... + 50228.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

Almost surely, 2^6871920 is an apocalyptic number.

6871920 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 6871920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320640).

6871920 is an abundant number, since it is smaller than the sum of its proper divisors (17769360).

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

6871920 is a wasteful number, since it uses less digits than its factorization.

6871920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 6871920 is about 2621.4347216744. The cubic root of 6871920 is about 190.1192234183.

The spelling of 6871920 in words is "six million, eight hundred seventy-one thousand, nine hundred twenty".