6986540 has 36 divisors (see below), whose sum is σ = 16132368. Its totient is φ = 2539680.

The previous prime is 6986537. The next prime is 6986543. The reversal of 6986540 is 456896.

It is an interprime number because it is at equal distance from previous prime (6986537) and next prime (6986543).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6986494 and 6986503.

It is not an unprimeable number, because it can be changed into a prime (6986543) 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, 977 + ... + 3863.

Almost surely, 2^6986540 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 6986540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066184).

6986540 is an abundant number, since it is smaller than the sum of its proper divisors (9145828).

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

6986540 is a wasteful number, since it uses less digits than its factorization.

6986540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 6986540 is about 2643.2063861908. The cubic root of 6986540 is about 191.1704298265.

The spelling of 6986540 in words is "six million, nine hundred eighty-six thousand, five hundred forty".