6891888 has 40 divisors (see below), whose sum is σ = 18078208. Its totient is φ = 2261952.

The previous prime is 6891887. The next prime is 6891901. The reversal of 6891888 is 8881986.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6891883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2145 + ... + 4287.

Almost surely, 2^6891888 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 6891888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039104).

6891888 is an abundant number, since it is smaller than the sum of its proper divisors (11186320).

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

6891888 is a wasteful number, since it uses less digits than its factorization.

6891888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2215 counting only the distinct ones).

The product of its digits is 221184, while the sum is 48.

The square root of 6891888 is about 2625.2405604058. The cubic root of 6891888 is about 190.3031909052.

It can be divided in two parts, 68918 and 88, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 6891888 in words is "six million, eight hundred ninety-one thousand, eight hundred eighty-eight".