1002216600 has 432 divisors, whose sum is σ = 4275362520. Its totient is φ = 208051200.

The previous prime is 1002216569. The next prime is 1002216601. The reversal of 1002216600 is 66122001.

It is a happy number.

1002216600 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 1 + 660 + 0 = 666.

It is a super-2 number, since 2×1002216600² = 2008876226631120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002216601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 969684 + ... + 970716.

Almost surely, 2^1002216600 is an apocalyptic number.

1002216600 is a gapful number since it is divisible by the number (10) 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 1002216600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137681260).

1002216600 is an abundant number, since it is smaller than the sum of its proper divisors (3273145920).

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

1002216600 is a wasteful number, since it uses less digits than its factorization.

1002216600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1002216600 is about 31657.8047249016. The cubic root of 1002216600 is about 1000.7383214140.

Adding to 1002216600 its reverse (66122001), we get a palindrome (1068338601).

The spelling of 1002216600 in words is "one billion, two million, two hundred sixteen thousand, six hundred".