7951968 has 36 divisors (see below), whose sum is σ = 22614228. Its totient is φ = 2650560.

The previous prime is 7951967. The next prime is 7951969. The reversal of 7951968 is 8691597.

Added to its reverse (8691597) it gives a triangular number (16643565 = T₅₇₆₉).

7951968 is a `hidden beast` number, since 79 + 519 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (7951967) and next prime (7951969).

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7951967) 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 5 ways as a sum of consecutive naturals, for example, 13518 + ... + 14093.

It is an arithmetic number, because the mean of its divisors is an integer number (628173).

Almost surely, 2^7951968 is an apocalyptic number.

It is an amenable number.

7951968 is an abundant number, since it is smaller than the sum of its proper divisors (14662260).

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

7951968 is a wasteful number, since it uses less digits than its factorization.

7951968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27627 (or 27616 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 7951968 is about 2819.9234032151. The cubic root of 7951968 is about 199.5989295836.

Adding to 7951968 its reverse (8691597), we get a triangular number (16643565 = T₅₇₆₉).

The spelling of 7951968 in words is "seven million, nine hundred fifty-one thousand, nine hundred sixty-eight".