66889344 has 64 divisors (see below), whose sum is σ = 178532640. Its totient is φ = 22189056.

The previous prime is 66889343. The next prime is 66889349. The reversal of 66889344 is 44398866.

66889344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 66889293 and 66889302.

It is not an unprimeable number, because it can be changed into a prime (66889343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142999 + ... + 143465.

Almost surely, 2^66889344 is an apocalyptic number.

66889344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89266320).

66889344 is an abundant number, since it is smaller than the sum of its proper divisors (111643296).

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

66889344 is a wasteful number, since it uses less digits than its factorization.

66889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 66889344 is about 8178.5905876257. The cubic root of 66889344 is about 405.9310874973.

The spelling of 66889344 in words is "sixty-six million, eight hundred eighty-nine thousand, three hundred forty-four".