6735966 has 16 divisors (see below), whose sum is σ = 13522944. Its totient is φ = 2236824.

The previous prime is 6735947. The next prime is 6735973. The reversal of 6735966 is 6695376.

It is a d-powerful number, because it can be written as 6 + 7⁵ + 3¹¹ + 5⁷ + 9⁷ + 6⁴ + 6⁸ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286 + ... + 3681.

It is an arithmetic number, because the mean of its divisors is an integer number (845184).

Almost surely, 2^6735966 is an apocalyptic number.

6735966 is an abundant number, since it is smaller than the sum of its proper divisors (6786978).

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

6735966 is a wasteful number, since it uses less digits than its factorization.

6735966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255.

The product of its digits is 204120, while the sum is 42.

The square root of 6735966 is about 2595.3739614938. The cubic root of 6735966 is about 188.8570908155.

The spelling of 6735966 in words is "six million, seven hundred thirty-five thousand, nine hundred sixty-six".