7689636 has 72 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 2376000.

The previous prime is 7689631. The next prime is 7689653. The reversal of 7689636 is 6369867.

7689636 is a `hidden beast` number, since 7 + 6 + 8 + 9 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7689591 and 7689600.

It is not an unprimeable number, because it can be changed into a prime (7689631) 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, 30511 + ... + 30761.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 2^7689636 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 7689636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

7689636 is an abundant number, since it is smaller than the sum of its proper divisors (13224348).

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

7689636 is a wasteful number, since it uses less digits than its factorization.

7689636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

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

The square root of 7689636 is about 2773.0192931172. The cubic root of 7689636 is about 197.3794468058.

It can be divided in two parts, 768 and 9636, that added together give a square (10404 = 102²).

The spelling of 7689636 in words is "seven million, six hundred eighty-nine thousand, six hundred thirty-six".