6705960 has 128 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 1648640.

The previous prime is 6705911. The next prime is 6705977. The reversal of 6705960 is 695076.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142657 + ... + 142703.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^6705960 is an apocalyptic number.

6705960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6705960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

6705960 is an abundant number, since it is smaller than the sum of its proper divisors (15066840).

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

6705960 is a wasteful number, since it uses less digits than its factorization.

6705960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 6705960 is about 2589.5868396329. The cubic root of 6705960 is about 188.5762461054.

The spelling of 6705960 in words is "six million, seven hundred five thousand, nine hundred sixty".