6883920 has 80 divisors (see below), whose sum is σ = 23718720. Its totient is φ = 1835136.

The previous prime is 6883897. The next prime is 6883927. The reversal of 6883920 is 293886.

6883920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6883927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (296484).

Almost surely, 2^6883920 is an apocalyptic number.

6883920 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 6883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11859360).

6883920 is an abundant number, since it is smaller than the sum of its proper divisors (16834800).

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

6883920 is a wasteful number, since it uses less digits than its factorization.

6883920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6883920 is about 2623.7225463071. The cubic root of 6883920 is about 190.2298234638.

The spelling of 6883920 in words is "six million, eight hundred eighty-three thousand, nine hundred twenty".