66313368 has 96 divisors (see below), whose sum is σ = 198104400. Its totient is φ = 19872000.

The previous prime is 66313349. The next prime is 66313369. The reversal of 66313368 is 86331366.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (66313369) 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, 79578 + ... + 80406.

Almost surely, 2^66313368 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 66313368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99052200).

66313368 is an abundant number, since it is smaller than the sum of its proper divisors (131791032).

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

66313368 is a wasteful number, since it uses less digits than its factorization.

66313368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 946 counting only the distinct ones).

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

The square root of 66313368 is about 8143.3020329594. The cubic root of 66313368 is about 404.7625860477.

It can be divided in two parts, 6631 and 3368, that added together give a palindrome (9999).

The spelling of 66313368 in words is "sixty-six million, three hundred thirteen thousand, three hundred sixty-eight".