8220635136 has 624 divisors, whose sum is σ = 29806066080. Its totient is φ = 2229534720.

The previous prime is 8220635117. The next prime is 8220635147. The reversal of 8220635136 is 6315360228.

It is a happy number.

8220635136 is a `hidden beast` number, since 8 + 2 + 2 + 0 + 635 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8220635136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200503276 + ... + 200503316.

Almost surely, 2^8220635136 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 8220635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903033040).

8220635136 is an abundant number, since it is smaller than the sum of its proper divisors (21585430944).

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

8220635136 is a wasteful number, since it uses less digits than its factorization.

8220635136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8220635136 is about 90667.7182684113. The cubic root of 8220635136 is about 2018.2197771730.

The spelling of 8220635136 in words is "eight billion, two hundred twenty million, six hundred thirty-five thousand, one hundred thirty-six".