66312300 has 72 divisors (see below), whose sum is σ = 195987456. Its totient is φ = 17303360.

The previous prime is 66312271. The next prime is 66312329. The reversal of 66312300 is 321366.

It is an interprime number because it is at equal distance from previous prime (66312271) and next prime (66312329).

It is a super-2 number, since 2×66312300² = 8794642262580000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11749 + ... + 16451.

It is an arithmetic number, because the mean of its divisors is an integer number (2722048).

Almost surely, 2^66312300 is an apocalyptic number.

66312300 is a gapful number since it is divisible by the number (60) 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 66312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97993728).

66312300 is an abundant number, since it is smaller than the sum of its proper divisors (129675156).

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

66312300 is a wasteful number, since it uses less digits than its factorization.

66312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 66312300 is about 8143.2364573307. The cubic root of 66312300 is about 404.7604130884.

Adding to 66312300 its reverse (321366), we get a palindrome (66633666).

The spelling of 66312300 in words is "sixty-six million, three hundred twelve thousand, three hundred".