66243600 has 90 divisors (see below), whose sum is σ = 229896186. Its totient is φ = 17664000.

The previous prime is 66243563. The next prime is 66243613. The reversal of 66243600 is 634266.

66243600 is a `hidden beast` number, since 6 + 624 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3326976 + 62916624 = 1824^2 + 7932^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5601 + ... + 12800.

Almost surely, 2^66243600 is an apocalyptic number.

66243600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66243600 is an abundant number, since it is smaller than the sum of its proper divisors (163652586).

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

66243600 is a wasteful number, since it uses less digits than its factorization.

66243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18425 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66243600 is about 8139.0171396797. The cubic root of 66243600 is about 404.6205865973.

Adding to 66243600 its reverse (634266), we get a palindrome (66877866).

The spelling of 66243600 in words is "sixty-six million, two hundred forty-three thousand, six hundred".