7830966 has 32 divisors (see below), whose sum is σ = 18402048. Its totient is φ = 2190240.

The previous prime is 7830961. The next prime is 7830973. The reversal of 7830966 is 6690387.

It is a super-2 number, since 2×7830966² = 122648056986312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3706 + ... + 5421.

It is an arithmetic number, because the mean of its divisors is an integer number (575064).

Almost surely, 2^7830966 is an apocalyptic number.

7830966 is an abundant number, since it is smaller than the sum of its proper divisors (10571082).

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

7830966 is a wasteful number, since it uses less digits than its factorization.

7830966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 7830966 is about 2798.3863207213. The cubic root of 7830966 is about 198.5813442050.

The spelling of 7830966 in words is "seven million, eight hundred thirty thousand, nine hundred sixty-six".