6986560 has 56 divisors (see below), whose sum is σ = 19019520. Its totient is φ = 2394624.

The previous prime is 6986543. The next prime is 6986569. The reversal of 6986560 is 656896.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6986569) 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, 681 + ... + 3799.

Almost surely, 2^6986560 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 6986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760).

6986560 is an abundant number, since it is smaller than the sum of its proper divisors (12032960).

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

6986560 is a wasteful number, since it uses less digits than its factorization.

6986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 6986560 is about 2643.2101694720. The cubic root of 6986560 is about 191.1706122442.

The spelling of 6986560 in words is "six million, nine hundred eighty-six thousand, five hundred sixty".