6888820 has 48 divisors (see below), whose sum is σ = 15353856. Its totient is φ = 2592000.

The previous prime is 6888809. The next prime is 6888829. The reversal of 6888820 is 288886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6888829) 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, 25285 + ... + 25555.

It is an arithmetic number, because the mean of its divisors is an integer number (319872).

Almost surely, 2^6888820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6888820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676928).

6888820 is an abundant number, since it is smaller than the sum of its proper divisors (8465036).

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

6888820 is a wasteful number, since it uses less digits than its factorization.

6888820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 6888820 is about 2624.6561679580. The cubic root of 6888820 is about 190.2749481921.

It can be divided in two parts, 68 and 88820, that added together give a palindrome (88888).

The spelling of 6888820 in words is "six million, eight hundred eighty-eight thousand, eight hundred twenty".