76638636 has 60 divisors (see below), whose sum is σ = 204174432. Its totient is φ = 25058592.

The previous prime is 76638629. The next prime is 76638637. The reversal of 76638636 is 63683667.

76638636 is a `hidden beast` number, since 7 + 6 + 6 + 3 + 8 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76638591 and 76638600.

It is not an unprimeable number, because it can be changed into a prime (76638637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14941 + ... + 19403.

Almost surely, 2^76638636 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 76638636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102087216).

76638636 is an abundant number, since it is smaller than the sum of its proper divisors (127535796).

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

76638636 is a wasteful number, since it uses less digits than its factorization.

76638636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4521 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 76638636 is about 8754.3495475107. The cubic root of 76638636 is about 424.7655195608.

The spelling of 76638636 in words is "seventy-six million, six hundred thirty-eight thousand, six hundred thirty-six".