66760100 has 72 divisors (see below), whose sum is σ = 159552288. Its totient is φ = 24044800.

The previous prime is 66760079. The next prime is 66760103. The reversal of 66760100 is 106766.

It is a self number, because there is not a number n which added to its sum of digits gives 66760100.

It is not an unprimeable number, because it can be changed into a prime (66760103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150479 + ... + 150921.

It is an arithmetic number, because the mean of its divisors is an integer number (2216004).

Almost surely, 2^66760100 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 66760100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79776144).

66760100 is an abundant number, since it is smaller than the sum of its proper divisors (92792188).

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

66760100 is a wasteful number, since it uses less digits than its factorization.

66760100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 66760100 is about 8170.6854057662. The cubic root of 66760100 is about 405.6694714153.

Adding to 66760100 its reverse (106766), we get a palindrome (66866866).

The spelling of 66760100 in words is "sixty-six million, seven hundred sixty thousand, one hundred".