7986528 has 72 divisors (see below), whose sum is σ = 24786216. Its totient is φ = 2419200.

The previous prime is 7986463. The next prime is 7986529. The reversal of 7986528 is 8256897.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7986529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1908 + ... + 4428.

It is an arithmetic number, because the mean of its divisors is an integer number (344253).

Almost surely, 2^7986528 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 7986528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393108).

7986528 is an abundant number, since it is smaller than the sum of its proper divisors (16799688).

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

7986528 is a wasteful number, since it uses less digits than its factorization.

7986528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2537 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7986528 is about 2826.0445856355. The cubic root of 7986528 is about 199.8876702553.

The spelling of 7986528 in words is "seven million, nine hundred eighty-six thousand, five hundred twenty-eight".