6608064100 has 81 divisors (see below), whose sum is σ = 15782955321. Its totient is φ = 2399680800.

The previous prime is 6608064053. The next prime is 6608064103. The reversal of 6608064100 is 14608066.

The square root of 6608064100 is 81290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2378903076 + 4229161024 = 48774^2 + 65032^2 .

It is a super-2 number, since 2×6608064100² = 87333022299417620000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6608064103) 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 26 ways as a sum of consecutive naturals, for example, 8941531 + ... + 8942269.

Almost surely, 2^6608064100 is an apocalyptic number.

6608064100 is the 81290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6608064100

6608064100 is an abundant number, since it is smaller than the sum of its proper divisors (9174891221).

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

6608064100 is a wasteful number, since it uses less digits than its factorization.

6608064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 6608064100 is about 1876.5411069066.

The spelling of 6608064100 in words is "six billion, six hundred eight million, sixty-four thousand, one hundred".