66741136 has 120 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 25401600.

The previous prime is 66741131. The next prime is 66741161. The reversal of 66741136 is 63114766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66741131) 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, 612250 + ... + 612358.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 2^66741136 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 66741136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840).

66741136 is an abundant number, since it is smaller than the sum of its proper divisors (101194544).

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

66741136 is a wasteful number, since it uses less digits than its factorization.

66741136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 66741136 is about 8169.5248331834. The cubic root of 66741136 is about 405.6310560324.

The spelling of 66741136 in words is "sixty-six million, seven hundred forty-one thousand, one hundred thirty-six".