66271200 has 144 divisors (see below), whose sum is σ = 220204656. Its totient is φ = 17305600.

The previous prime is 66271189. The next prime is 66271201. The reversal of 66271200 is 217266.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66271201) 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, 126940 + ... + 127460.

It is an arithmetic number, because the mean of its divisors is an integer number (1529199).

Almost surely, 2^66271200 is an apocalyptic number.

66271200 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 66271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110102328).

66271200 is an abundant number, since it is smaller than the sum of its proper divisors (153933456).

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

66271200 is a wasteful number, since it uses less digits than its factorization.

66271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 66271200 is about 8140.7124995298. The cubic root of 66271200 is about 404.6767730444.

Adding to 66271200 its reverse (217266), we get a palindrome (66488466).

It can be divided in two parts, 6627 and 1200, that multiplied together give a square (7952400 = 2820²).

The spelling of 66271200 in words is "sixty-six million, two hundred seventy-one thousand, two hundred".