7962966 has 48 divisors (see below), whose sum is σ = 19027008. Its totient is φ = 2386800.

The previous prime is 7962961. The next prime is 7962989. The reversal of 7962966 is 6692697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7962961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25785 + ... + 26091.

It is an arithmetic number, because the mean of its divisors is an integer number (396396).

Almost surely, 2^7962966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7962966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9513504).

7962966 is an abundant number, since it is smaller than the sum of its proper divisors (11064042).

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

7962966 is a wasteful number, since it uses less digits than its factorization.

7962966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 7962966 is about 2821.8727823912. The cubic root of 7962966 is about 199.6909058836.

The spelling of 7962966 in words is "seven million, nine hundred sixty-two thousand, nine hundred sixty-six".