216933600 has 288 divisors, whose sum is σ = 807135840. Its totient is φ = 50135040.

The previous prime is 216933599. The next prime is 216933637. The reversal of 216933600 is 6339612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 530196 + ... + 530604.

It is an arithmetic number, because the mean of its divisors is an integer number (2802555).

Almost surely, 2^216933600 is an apocalyptic number.

216933600 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 216933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403567920).

216933600 is an abundant number, since it is smaller than the sum of its proper divisors (590202240).

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

216933600 is a wasteful number, since it uses less digits than its factorization.

216933600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 216933600 is about 14728.6659273676. The cubic root of 216933600 is about 600.8632019861.

The spelling of 216933600 in words is "two hundred sixteen million, nine hundred thirty-three thousand, six hundred".