66319344 has 240 divisors, whose sum is σ = 239463840. Its totient is φ = 17418240.

The previous prime is 66319343. The next prime is 66319369. The reversal of 66319344 is 44391366.

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 zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 66319299 and 66319308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66319343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275064 + ... + 275304.

It is an arithmetic number, because the mean of its divisors is an integer number (997766).

Almost surely, 2^66319344 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 66319344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119731920).

66319344 is an abundant number, since it is smaller than the sum of its proper divisors (173144496).

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

66319344 is a wasteful number, since it uses less digits than its factorization.

66319344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 66319344 is about 8143.6689520142. The cubic root of 66319344 is about 404.7747444236.

The spelling of 66319344 in words is "sixty-six million, three hundred nineteen thousand, three hundred forty-four".