6861888 has 168 divisors, whose sum is σ = 23225760. Its totient is φ = 1969920.

The previous prime is 6861851. The next prime is 6861913. The reversal of 6861888 is 8881686.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361143 + ... + 361161.

Almost surely, 2^6861888 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 6861888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612880).

6861888 is an abundant number, since it is smaller than the sum of its proper divisors (16363872).

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

6861888 is a wasteful number, since it uses less digits than its factorization.

6861888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 35 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 6861888 is about 2619.5205668213. The cubic root of 6861888 is about 190.0266629249.

The spelling of 6861888 in words is "six million, eight hundred sixty-one thousand, eight hundred eighty-eight".