6986140 has 48 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 2371392.

The previous prime is 6986123. The next prime is 6986171. The reversal of 6986140 is 416896.

6986140 = T₂₄₅ + T₂₄₆ + ... + T₃₈₃.

It is a junction number, because it is equal to n+sod(n) for n = 6986096 and 6986105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19281 + ... + 19639.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^6986140 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 6986140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

6986140 is an abundant number, since it is smaller than the sum of its proper divisors (9948260).

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

6986140 is a wasteful number, since it uses less digits than its factorization.

6986140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 6986140 is about 2643.1307194310. The cubic root of 6986140 is about 191.1667814001.

The spelling of 6986140 in words is "six million, nine hundred eighty-six thousand, one hundred forty".