66536100 has 144 divisors (see below), whose sum is σ = 225332800. Its totient is φ = 16796160.

The previous prime is 66536089. The next prime is 66536117. The reversal of 66536100 is 163566.

66536100 is a `hidden beast` number, since 6 + 653 + 6 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50652 + ... + 51948.

Almost surely, 2^66536100 is an apocalyptic number.

66536100 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 66536100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112666400).

66536100 is an abundant number, since it is smaller than the sum of its proper divisors (158796700).

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

66536100 is a wasteful number, since it uses less digits than its factorization.

66536100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 66536100 is about 8156.9663478526. The cubic root of 66536100 is about 405.2152490910.

Adding to 66536100 its reverse (163566), we get a palindrome (66699666).

The spelling of 66536100 in words is "sixty-six million, five hundred thirty-six thousand, one hundred".