8509201632 has 120 divisors (see below), whose sum is σ = 25077169656. Its totient is φ = 2830526208.

The previous prime is 8509201579. The next prime is 8509201669. The reversal of 8509201632 is 2361029058.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1352478 + ... + 1358754.

Almost surely, 2^8509201632 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 8509201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12538584828).

8509201632 is an abundant number, since it is smaller than the sum of its proper divisors (16567968024).

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

8509201632 is a wasteful number, since it uses less digits than its factorization.

8509201632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8509201632 is about 92245.3339307740. Note that the first 3 decimals coincide. The cubic root of 8509201632 is about 2041.5637145595.

The spelling of 8509201632 in words is "eight billion, five hundred nine million, two hundred one thousand, six hundred thirty-two".