66282400 has 72 divisors (see below), whose sum is σ = 167450220. Its totient is φ = 25589760.

The previous prime is 66282379. The next prime is 66282401. The reversal of 66282400 is 428266.

It can be written as a sum of positive squares in 6 ways, for example, as 30426256 + 35856144 = 5516^2 + 5988^2 .

It is not an unprimeable number, because it can be changed into a prime (66282401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21772 + ... + 24628.

Almost surely, 2^66282400 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 66282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83725110).

66282400 is an abundant number, since it is smaller than the sum of its proper divisors (101167820).

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

66282400 is a wasteful number, since it uses less digits than its factorization.

66282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 66282400 is about 8141.4003709436. The cubic root of 66282400 is about 404.6995688922.

The spelling of 66282400 in words is "sixty-six million, two hundred eighty-two thousand, four hundred".