7947968 has 56 divisors (see below), whose sum is σ = 18300192. Its totient is φ = 3354624.

The previous prime is 7947941. The next prime is 7947971. The reversal of 7947968 is 8697497.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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, 50546 + ... + 50702.

Almost surely, 2^7947968 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 7947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150096).

7947968 is an abundant number, since it is smaller than the sum of its proper divisors (10352224).

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

7947968 is a wasteful number, since it uses less digits than its factorization.

7947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 7947968 is about 2819.2140748797. The cubic root of 7947968 is about 199.5654565437.

It can be divided in two parts, 7 and 947968, that multiplied together give a square (6635776 = 2576²).

The spelling of 7947968 in words is "seven million, nine hundred forty-seven thousand, nine hundred sixty-eight".