8220609600 has 336 divisors, whose sum is σ = 31181040000. Its totient is φ = 1857208320.

The previous prime is 8220609599. The next prime is 8220609601. The reversal of 8220609600 is 69060228.

It is an interprime number because it is at equal distance from previous prime (8220609599) and next prime (8220609601).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×8220609600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8220609601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2989026 + ... + 2991774.

Almost surely, 2^8220609600 is an apocalyptic number.

8220609600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590520000).

8220609600 is an abundant number, since it is smaller than the sum of its proper divisors (22960430400).

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

8220609600 is a wasteful number, since it uses less digits than its factorization.

8220609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 8220609600 is about 90667.5774464058. The cubic root of 8220609600 is about 2018.2176874191.

Adding to 8220609600 its reverse (69060228), we get a palindrome (8289669828).

The spelling of 8220609600 in words is "eight billion, two hundred twenty million, six hundred nine thousand, six hundred".