7968384 has 48 divisors (see below), whose sum is σ = 22933170. Its totient is φ = 2655744.

The previous prime is 7968379. The next prime is 7968409. The reversal of 7968384 is 4838697.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 1617984 = 2520^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2307 + ... + 4610.

Almost surely, 2^7968384 is an apocalyptic number.

It is an amenable number.

7968384 is an abundant number, since it is smaller than the sum of its proper divisors (14964786).

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

7968384 is a wasteful number, since it uses less digits than its factorization.

7968384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6922 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7968384 is about 2822.8326199050. The cubic root of 7968384 is about 199.7361854959.

It can be divided in two parts, 796 and 8384, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 7968384 in words is "seven million, nine hundred sixty-eight thousand, three hundred eighty-four".