216972800 has 240 divisors, whose sum is σ = 621067392. Its totient is φ = 74342400.

The previous prime is 216972793. The next prime is 216972803. The reversal of 216972800 is 8279612.

It is a happy number.

216972800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216972803) 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, 3238367 + ... + 3238433.

Almost surely, 2^216972800 is an apocalyptic number.

216972800 is a gapful number since it is divisible by the number (20) 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 216972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310533696).

216972800 is an abundant number, since it is smaller than the sum of its proper divisors (404094592).

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

216972800 is a wasteful number, since it uses less digits than its factorization.

216972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 216972800 is about 14729.9966055665. The cubic root of 216972800 is about 600.8993918908.

The spelling of 216972800 in words is "two hundred sixteen million, nine hundred seventy-two thousand, eight hundred".