66060800 has 120 divisors (see below), whose sum is σ = 176704836. Its totient is φ = 24330240.

The previous prime is 66060791. The next prime is 66060809. The reversal of 66060800 is 806066.

It is an interprime number because it is at equal distance from previous prime (66060791) and next prime (66060809).

It can be written as a sum of positive squares in 6 ways, for example, as 17172736 + 48888064 = 4144^2 + 6992^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 66060800.

It is not an unprimeable number, because it can be changed into a prime (66060809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166202 + ... + 166598.

Almost surely, 2^66060800 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 66060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88352418).

66060800 is an abundant number, since it is smaller than the sum of its proper divisors (110644036).

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

66060800 is a wasteful number, since it uses less digits than its factorization.

66060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 66060800 is about 8127.7795245688. The cubic root of 66060800 is about 404.2480586189.

Adding to 66060800 its reverse (806066), we get a palindrome (66866866).

The spelling of 66060800 in words is "sixty-six million, sixty thousand, eight hundred".