7997568 has 64 divisors (see below), whose sum is σ = 21664800. Its totient is φ = 2613248.

The previous prime is 7997557. The next prime is 7997579. The reversal of 7997568 is 8657997.

7997568 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7997557) and next prime (7997579).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7997568² = 127922187829248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7997568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22480 + ... + 22832.

Almost surely, 2^7997568 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 7997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832400).

7997568 is an abundant number, since it is smaller than the sum of its proper divisors (13667232).

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

7997568 is a wasteful number, since it uses less digits than its factorization.

7997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its digits is 952560, while the sum is 51.

The square root of 7997568 is about 2827.9971711443. The cubic root of 7997568 is about 199.9797312793.

The spelling of 7997568 in words is "seven million, nine hundred ninety-seven thousand, five hundred sixty-eight".