7981968 has 40 divisors (see below), whose sum is σ = 20757600. Its totient is φ = 2642944.

The previous prime is 7981949. The next prime is 7981999. The reversal of 7981968 is 8691897.

It is a happy number.

7981968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8128 + ... + 9056.

It is an arithmetic number, because the mean of its divisors is an integer number (518940).

Almost surely, 2^7981968 is an apocalyptic number.

It is an amenable number.

7981968 is an abundant number, since it is smaller than the sum of its proper divisors (12775632).

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

7981968 is a wasteful number, since it uses less digits than its factorization.

7981968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The square root of 7981968 is about 2825.2376891157. The cubic root of 7981968 is about 199.8496202914.

The spelling of 7981968 in words is "seven million, nine hundred eighty-one thousand, nine hundred sixty-eight".