6986480 has 40 divisors (see below), whose sum is σ = 16954272. Its totient is φ = 2672384.

The previous prime is 6986453. The next prime is 6986489. The reversal of 6986480 is 846896.

6986480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6986489) 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, 59 + ... + 3738.

Almost surely, 2^6986480 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 6986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477136).

6986480 is an abundant number, since it is smaller than the sum of its proper divisors (9967792).

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

6986480 is a wasteful number, since it uses less digits than its factorization.

6986480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 6986480 is about 2643.1950363150. The cubic root of 6986480 is about 191.1698825714.

The spelling of 6986480 in words is "six million, nine hundred eighty-six thousand, four hundred eighty".