66313600 has 192 divisors, whose sum is σ = 184407840. Its totient is φ = 23429120.

The previous prime is 66313589. The next prime is 66313601. The reversal of 66313600 is 631366.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66313601) 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, 1251174 + ... + 1251226.

Almost surely, 2^66313600 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 66313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92203920).

66313600 is an abundant number, since it is smaller than the sum of its proper divisors (118094240).

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

66313600 is a wasteful number, since it uses less digits than its factorization.

66313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 66313600 is about 8143.3162777827. The cubic root of 66313600 is about 404.7630580733.

Adding to 66313600 its reverse (631366), we get a palindrome (66944966).

The spelling of 66313600 in words is "sixty-six million, three hundred thirteen thousand, six hundred".