7947966 has 64 divisors (see below), whose sum is σ = 18708480. Its totient is φ = 2229120.

The previous prime is 7947941. The next prime is 7947971. The reversal of 7947966 is 6697497.

It is a congruent number.

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, 45856 + ... + 46028.

It is an arithmetic number, because the mean of its divisors is an integer number (292320).

Almost surely, 2^7947966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7947966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354240).

7947966 is an abundant number, since it is smaller than the sum of its proper divisors (10760514).

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

7947966 is a wasteful number, since it uses less digits than its factorization.

7947966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241.

The product of its digits is 571536, while the sum is 48.

The square root of 7947966 is about 2819.2137201709. The cubic root of 7947966 is about 199.5654398044.

The spelling of 7947966 in words is "seven million, nine hundred forty-seven thousand, nine hundred sixty-six".