7966938 has 64 divisors (see below), whose sum is σ = 19537920. Its totient is φ = 2116800.

The previous prime is 7966927. The next prime is 7966939. The reversal of 7966938 is 8396697.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7966939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37653 + ... + 37863.

It is an arithmetic number, because the mean of its divisors is an integer number (305280).

Almost surely, 2^7966938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7966938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9768960).

7966938 is an abundant number, since it is smaller than the sum of its proper divisors (11570982).

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

7966938 is a wasteful number, since it uses less digits than its factorization.

7966938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283.

The product of its digits is 489888, while the sum is 48.

The square root of 7966938 is about 2822.5764825776. The cubic root of 7966938 is about 199.7241029123.

The spelling of 7966938 in words is "seven million, nine hundred sixty-six thousand, nine hundred thirty-eight".