7933968 has 120 divisors (see below), whose sum is σ = 26926848. Its totient is φ = 2128896.

The previous prime is 7933957. The next prime is 7934009. The reversal of 7933968 is 8693397.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16905 + ... + 17367.

Almost surely, 2^7933968 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 7933968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13463424).

7933968 is an abundant number, since it is smaller than the sum of its proper divisors (18992880).

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

7933968 is a wasteful number, since it uses less digits than its factorization.

7933968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

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

The square root of 7933968 is about 2816.7300190114. The cubic root of 7933968 is about 199.4482123855.

It can be divided in two parts, 793 and 3968, that added together give a square (4761 = 69²).

The spelling of 7933968 in words is "seven million, nine hundred thirty-three thousand, nine hundred sixty-eight".