6888000 has 224 divisors, whose sum is σ = 26627328. Its totient is φ = 1536000.

The previous prime is 6887953. The next prime is 6888019. The reversal of 6888000 is 8886.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 167980 + ... + 168020.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

Almost surely, 2^6888000 is an apocalyptic number.

6888000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 2624×2625.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313664).

6888000 is an abundant number, since it is smaller than the sum of its proper divisors (19739328).

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

6888000 is a wasteful number, since it uses less digits than its factorization.

6888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 6888000 is about 2624.4999523719. The cubic root of 6888000 is about 190.2673981981.

The spelling of 6888000 in words is "six million, eight hundred eighty-eight thousand".