7643636 has 96 divisors (see below), whose sum is σ = 18966528. Its totient is φ = 2597760.

The previous prime is 7643633. The next prime is 7643663. The reversal of 7643636 is 6363467.

7643636 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

7643636 is a modest number, since divided by 3636 gives 764 as remainder.

7643636 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 7643596 and 7643605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7643633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92051 + ... + 92133.

It is an arithmetic number, because the mean of its divisors is an integer number (197568).

Almost surely, 2^7643636 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 7643636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483264).

7643636 is an abundant number, since it is smaller than the sum of its proper divisors (11322892).

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

7643636 is a wasteful number, since it uses less digits than its factorization.

7643636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its digits is 54432, while the sum is 35.

The square root of 7643636 is about 2764.7126432959. The cubic root of 7643636 is about 196.9850796502.

The spelling of 7643636 in words is "seven million, six hundred forty-three thousand, six hundred thirty-six".