60006600 has 288 divisors, whose sum is σ = 223278120. Its totient is φ = 14376960.

The previous prime is 60006589. The next prime is 60006601. The reversal of 60006600 is 660006.

60006600 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 660 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27311076 + 32695524 = 5226^2 + 5718^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

60006600 is a modest number, since divided by 6600 gives 6000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (60006601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1132174 + ... + 1132226.

Almost surely, 2^60006600 is an apocalyptic number.

60006600 is a gapful number since it is divisible by the number (60) 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 60006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111639060).

60006600 is an abundant number, since it is smaller than the sum of its proper divisors (163271520).

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

60006600 is a wasteful number, since it uses less digits than its factorization.

60006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 60006600 is about 7746.3927088678. The cubic root of 60006600 is about 391.5011181053.

Adding to 60006600 its reverse (660006), we get a palindrome (60666606).

It can be divided in two parts, 60006 and 600, that added together give a palindrome (60606).

The spelling of 60006600 in words is "sixty million, six thousand, six hundred".