216676800 has 252 divisors, whose sum is σ = 791053536. Its totient is φ = 56217600.

The previous prime is 216676787. The next prime is 216676853. The reversal of 216676800 is 8676612.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 590217 + ... + 590583.

Almost surely, 2^216676800 is an apocalyptic number.

216676800 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 216676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395526768).

216676800 is an abundant number, since it is smaller than the sum of its proper divisors (574376736).

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

216676800 is a wasteful number, since it uses less digits than its factorization.

216676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 216676800 is about 14719.9456520736. The cubic root of 216676800 is about 600.6260132851.

The spelling of 216676800 in words is "two hundred sixteen million, six hundred seventy-six thousand, eight hundred".