6889968 has 80 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 2234880.

The previous prime is 6889963. The next prime is 6889969. The reversal of 6889968 is 8699886.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6889963) 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, 17518 + ... + 17906.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 2^6889968 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 6889968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

6889968 is an abundant number, since it is smaller than the sum of its proper divisors (13421232).

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

6889968 is a wasteful number, since it uses less digits than its factorization.

6889968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 6889968 is about 2624.8748541597. The cubic root of 6889968 is about 190.2855171772.

The spelling of 6889968 in words is "six million, eight hundred eighty-nine thousand, nine hundred sixty-eight".