66214500 has 96 divisors (see below), whose sum is σ = 210397824. Its totient is φ = 16048000.

The previous prime is 66214483. The next prime is 66214501. The reversal of 66214500 is 541266.

It is not an unprimeable number, because it can be changed into a prime (66214501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14494 + ... + 18506.

It is an arithmetic number, because the mean of its divisors is an integer number (2191644).

Almost surely, 2^66214500 is an apocalyptic number.

66214500 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 66214500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105198912).

66214500 is an abundant number, since it is smaller than the sum of its proper divisors (144183324).

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

66214500 is a wasteful number, since it uses less digits than its factorization.

66214500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66214500 is about 8137.2292581689. The cubic root of 66214500 is about 404.5613296345.

Adding to 66214500 its reverse (541266), we get a palindrome (66755766).

The spelling of 66214500 in words is "sixty-six million, two hundred fourteen thousand, five hundred".