7563968 has 28 divisors (see below), whose sum is σ = 15224760. Its totient is φ = 3727872.

The previous prime is 7563953. The next prime is 7563971. The reversal of 7563968 is 8693657.

It is a super-2 number, since 2×7563968² = 114427223810048, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3863 + ... + 5481.

Almost surely, 2^7563968 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 7563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612380).

7563968 is an abundant number, since it is smaller than the sum of its proper divisors (7660792).

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

7563968 is a wasteful number, since it uses less digits than its factorization.

7563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1694 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 7563968 is about 2750.2668961394. The cubic root of 7563968 is about 196.2983101482.

The spelling of 7563968 in words is "seven million, five hundred sixty-three thousand, nine hundred sixty-eight".