6988960 has 108 divisors (see below), whose sum is σ = 19154394. Its totient is φ = 2407680.

The previous prime is 6988939. The next prime is 6988991. The reversal of 6988960 is 698896.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 698896 = 2508^2 + 836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6988960.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 367831 + ... + 367849.

Almost surely, 2^6988960 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 6988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9577197).

6988960 is an abundant number, since it is smaller than the sum of its proper divisors (12165434).

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

6988960 is a wasteful number, since it uses less digits than its factorization.

6988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 6988960 is about 2643.6641239008. The cubic root of 6988960 is about 191.1924998371.

Subtracting from 6988960 its reverse (698896), we obtain a square (6290064 = 2508²).

The spelling of 6988960 in words is "six million, nine hundred eighty-eight thousand, nine hundred sixty".