6998688 has 72 divisors (see below), whose sum is σ = 20966400. Its totient is φ = 2208384.

The previous prime is 6998687. The next prime is 6998711. The reversal of 6998688 is 8868996.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (6998681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4833 + ... + 6111.

It is an arithmetic number, because the mean of its divisors is an integer number (291200).

Almost surely, 2^6998688 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 6998688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483200).

6998688 is an abundant number, since it is smaller than the sum of its proper divisors (13967712).

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

6998688 is a wasteful number, since it uses less digits than its factorization.

6998688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1303 counting only the distinct ones).

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

The square root of 6998688 is about 2645.5033547512. The cubic root of 6998688 is about 191.2811662652.

The spelling of 6998688 in words is "six million, nine hundred ninety-eight thousand, six hundred eighty-eight".