66112644 has 96 divisors (see below), whose sum is σ = 173408256. Its totient is φ = 19474560.

The previous prime is 66112639. The next prime is 66112661. The reversal of 66112644 is 44621166.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520509 + ... + 520635.

It is an arithmetic number, because the mean of its divisors is an integer number (1806336).

Almost surely, 2^66112644 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 66112644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86704128).

66112644 is an abundant number, since it is smaller than the sum of its proper divisors (107295612).

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

66112644 is a wasteful number, since it uses less digits than its factorization.

66112644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66112644 is about 8130.9682080303. The cubic root of 66112644 is about 404.3537812069.

The spelling of 66112644 in words is "sixty-six million, one hundred twelve thousand, six hundred forty-four".