66113964 has 72 divisors (see below), whose sum is σ = 192261888. Its totient is φ = 18764640.

The previous prime is 66113963. The next prime is 66113981. The reversal of 66113964 is 46931166.

66113964 is a `hidden beast` number, since 6 + 611 + 39 + 6 + 4 = 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 not an unprimeable number, because it can be changed into a prime (66113963) 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, 41299 + ... + 42869.

It is an arithmetic number, because the mean of its divisors is an integer number (2670304).

Almost surely, 2^66113964 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 66113964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96130944).

66113964 is an abundant number, since it is smaller than the sum of its proper divisors (126147924).

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

66113964 is a wasteful number, since it uses less digits than its factorization.

66113964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1750 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 66113964 is about 8131.0493787702. The cubic root of 66113964 is about 404.3564722879.

The spelling of 66113964 in words is "sixty-six million, one hundred thirteen thousand, nine hundred sixty-four".