6986448 has 120 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 1919232.

The previous prime is 6986437. The next prime is 6986449. The reversal of 6986448 is 8446896.

It is a happy number.

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 (6986449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29113 + ... + 29351.

It is an arithmetic number, because the mean of its divisors is an integer number (193440).

Almost surely, 2^6986448 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 6986448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

6986448 is an abundant number, since it is smaller than the sum of its proper divisors (16226352).

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

6986448 is a wasteful number, since it uses less digits than its factorization.

6986448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6986448 is about 2643.1889830279. The cubic root of 6986448 is about 191.1695907008.

The spelling of 6986448 in words is "six million, nine hundred eighty-six thousand, four hundred forty-eight".