7986636 has 72 divisors (see below), whose sum is σ = 23665824. Its totient is φ = 2223360.

The previous prime is 7986619. The next prime is 7986637. The reversal of 7986636 is 6366897.

7986636 is a `hidden beast` number, since 7 + 9 + 8 + 6 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7986591 and 7986600.

It is not an unprimeable number, because it can be changed into a prime (7986637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9946 + ... + 10718.

It is an arithmetic number, because the mean of its divisors is an integer number (328692).

Almost surely, 2^7986636 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 7986636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832912).

7986636 is an abundant number, since it is smaller than the sum of its proper divisors (15679188).

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

7986636 is a wasteful number, since it uses less digits than its factorization.

7986636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 826 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 7986636 is about 2826.0636935497. The cubic root of 7986636 is about 199.8885712630. Note that the first 3 decimals are identical.

The spelling of 7986636 in words is "seven million, nine hundred eighty-six thousand, six hundred thirty-six".