66116736 has 160 divisors (see below), whose sum is σ = 225118080. Its totient is φ = 18869760.

The previous prime is 66116731. The next prime is 66116747. The reversal of 66116736 is 63761166.

66116736 is a `hidden beast` number, since 6 + 611 + 6 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66116736.

It is not an unprimeable number, because it can be changed into a prime (66116731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72121 + ... + 73031.

It is an arithmetic number, because the mean of its divisors is an integer number (1406988).

Almost surely, 2^66116736 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 66116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112559040).

66116736 is an abundant number, since it is smaller than the sum of its proper divisors (159001344).

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

66116736 is an equidigital number, since it uses as much as digits as its factorization.

66116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 923 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 66116736 is about 8131.2198346866. The cubic root of 66116736 is about 404.3621234414.

The spelling of 66116736 in words is "sixty-six million, one hundred sixteen thousand, seven hundred thirty-six".