7966368 has 72 divisors (see below), whose sum is σ = 22932000. Its totient is φ = 2623104.

The previous prime is 7966363. The next prime is 7966379. The reversal of 7966368 is 8636697.

7966368 is a `hidden beast` number, since 7 + 9 + 6 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7966368² = 126926038222848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7966363) 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 11 ways as a sum of consecutive naturals, for example, 39933 + ... + 40131.

It is an arithmetic number, because the mean of its divisors is an integer number (318500).

Almost surely, 2^7966368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7966368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466000).

7966368 is an abundant number, since it is smaller than the sum of its proper divisors (14965632).

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

7966368 is a wasteful number, since it uses less digits than its factorization.

7966368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 7966368 is about 2822.4755091940. The cubic root of 7966368 is about 199.7193396664.

The spelling of 7966368 in words is "seven million, nine hundred sixty-six thousand, three hundred sixty-eight".