66226300 has 72 divisors (see below), whose sum is σ = 168746144. Its totient is φ = 22083840.

The previous prime is 66226231. The next prime is 66226301. The reversal of 66226300 is 362266.

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 (66226301) 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, 24622 + ... + 27178.

Almost surely, 2^66226300 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 66226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84373072).

66226300 is an abundant number, since it is smaller than the sum of its proper divisors (102519844).

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

66226300 is a wasteful number, since it uses less digits than its factorization.

66226300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 66226300 is about 8137.9542883946. The cubic root of 66226300 is about 404.5853603234.

Adding to 66226300 its reverse (362266), we get a palindrome (66588566).

It can be divided in two parts, 662 and 26300, that added together give a palindrome (26962).

The spelling of 66226300 in words is "sixty-six million, two hundred twenty-six thousand, three hundred".