216644800 has 42 divisors (see below), whose sum is σ = 533085548. Its totient is φ = 86657280.

The previous prime is 216644789. The next prime is 216644807. The reversal of 216644800 is 8446612.

216644800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216644807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66102 + ... + 69301.

Almost surely, 2^216644800 is an apocalyptic number.

216644800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216644800 is an abundant number, since it is smaller than the sum of its proper divisors (316440748).

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

216644800 is a wasteful number, since it uses less digits than its factorization.

216644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135425 (or 135410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 216644800 is about 14718.8586514036. The cubic root of 216644800 is about 600.5964439316.

The spelling of 216644800 in words is "two hundred sixteen million, six hundred forty-four thousand, eight hundred".