66101712 has 80 divisors (see below), whose sum is σ = 184006080. Its totient is φ = 20371456.

The previous prime is 66101689. The next prime is 66101713. The reversal of 66101712 is 21710166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66101713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47458 + ... + 48830.

It is an arithmetic number, because the mean of its divisors is an integer number (2300076).

Almost surely, 2^66101712 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 66101712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92003040).

66101712 is an abundant number, since it is smaller than the sum of its proper divisors (117904368).

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

66101712 is a wasteful number, since it uses less digits than its factorization.

66101712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 66101712 is about 8130.2959355733. The cubic root of 66101712 is about 404.3314927866.

Adding to 66101712 its reverse (21710166), we get a palindrome (87811878).

The spelling of 66101712 in words is "sixty-six million, one hundred one thousand, seven hundred twelve".