7987968 has 54 divisors (see below), whose sum is σ = 23037924. Its totient is φ = 2661888.

The previous prime is 7987957. The next prime is 7988009. The reversal of 7987968 is 8697897.

It is an Ulam number.

It is a zygodrome in base 2.

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, 571 + ... + 4037.

Almost surely, 2^7987968 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 7987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518962).

7987968 is an abundant number, since it is smaller than the sum of its proper divisors (15049956).

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

7987968 is a wasteful number, since it uses less digits than its factorization.

7987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3472 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 7987968 is about 2826.2993472030. The cubic root of 7987968 is about 199.8996830243.

The spelling of 7987968 in words is "seven million, nine hundred eighty-seven thousand, nine hundred sixty-eight".