66321144 has 96 divisors (see below), whose sum is σ = 194032800. Its totient is φ = 20401920.

The previous prime is 66321139. The next prime is 66321181. The reversal of 66321144 is 44112366.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47334 + ... + 48714.

It is an arithmetic number, because the mean of its divisors is an integer number (2021175).

Almost surely, 2^66321144 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 66321144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97016400).

66321144 is an abundant number, since it is smaller than the sum of its proper divisors (127711656).

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

66321144 is a wasteful number, since it uses less digits than its factorization.

66321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1438 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 66321144 is about 8143.7794665622. The cubic root of 66321144 is about 404.7784064419.

It can be divided in two parts, 6632 and 1144, that added together give a 5-th power (7776 = 6⁵).

The spelling of 66321144 in words is "sixty-six million, three hundred twenty-one thousand, one hundred forty-four".