66141000 has 96 divisors (see below), whose sum is σ = 223587000. Its totient is φ = 17635200.

The previous prime is 66140917. The next prime is 66141013. The reversal of 66141000 is 14166.

66141000 is a `hidden beast` number, since 661 + 4 + 1 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25462116 + 40678884 = 5046^2 + 6378^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5326 + ... + 12674.

Almost surely, 2^66141000 is an apocalyptic number.

66141000 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 66141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111793500).

66141000 is an abundant number, since it is smaller than the sum of its proper divisors (157446000).

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

66141000 is a wasteful number, since it uses less digits than its factorization.

66141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 7359 counting only the distinct ones).

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

The square root of 66141000 is about 8132.7117248800. The cubic root of 66141000 is about 404.4115826413.

Adding to 66141000 its reverse (14166), we get a palindrome (66155166).

The spelling of 66141000 in words is "sixty-six million, one hundred forty-one thousand".