216964800 has 504 divisors, whose sum is σ = 888502160. Its totient is φ = 49766400.

The previous prime is 216964793. The next prime is 216964801. The reversal of 216964800 is 8469612.

216964800 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 648 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216964801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3556770 + ... + 3556830.

Almost surely, 2^216964800 is an apocalyptic number.

216964800 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 216964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444251080).

216964800 is an abundant number, since it is smaller than the sum of its proper divisors (671537360).

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

216964800 is a wasteful number, since it uses less digits than its factorization.

216964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 216964800 is about 14729.7250483504. The cubic root of 216964800 is about 600.8920065500.

The spelling of 216964800 in words is "two hundred sixteen million, nine hundred sixty-four thousand, eight hundred".