6853920 has 96 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 1797120.

The previous prime is 6853901. The next prime is 6853921. The reversal of 6853920 is 293586.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (6853921) 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, 52255 + ... + 52385.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 2^6853920 is an apocalyptic number.

6853920 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 6853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

6853920 is an abundant number, since it is smaller than the sum of its proper divisors (15100320).

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

6853920 is a wasteful number, since it uses less digits than its factorization.

6853920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 6853920 is about 2617.9992360579. Note that the first 3 decimals coincide. The cubic root of 6853920 is about 189.9530816745.

The spelling of 6853920 in words is "six million, eight hundred fifty-three thousand, nine hundred twenty".