8201608020 has 480 divisors, whose sum is σ = 28447816320. Its totient is φ = 1970749440.

The previous prime is 8201608003. The next prime is 8201608021. The reversal of 8201608020 is 208061028.

It is a super-2 number, since 2×8201608020² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201608021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84552612 + ... + 84552708.

It is an arithmetic number, because the mean of its divisors is an integer number (59266284).

Almost surely, 2^8201608020 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 8201608020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14223908160).

8201608020 is an abundant number, since it is smaller than the sum of its proper divisors (20246208300).

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

8201608020 is a wasteful number, since it uses less digits than its factorization.

8201608020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8201608020 is about 90562.7297512614. The cubic root of 8201608020 is about 2016.6614804259.

Adding to 8201608020 its reverse (208061028), we get a palindrome (8409669048).

The spelling of 8201608020 in words is "eight billion, two hundred one million, six hundred eight thousand, twenty".