216996000 has 288 divisors, whose sum is σ = 776962368. Its totient is φ = 52915200.

The previous prime is 216995981. The next prime is 216996079. The reversal of 216996000 is 699612.

It is a happy 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, 2027947 + ... + 2028053.

It is an arithmetic number, because the mean of its divisors is an integer number (2697786).

Almost surely, 2^216996000 is an apocalyptic number.

216996000 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 216996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388481184).

216996000 is an abundant number, since it is smaller than the sum of its proper divisors (559966368).

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

216996000 is a wasteful number, since it uses less digits than its factorization.

216996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 216996000 is about 14730.7840931839. The cubic root of 216996000 is about 600.9208083526.

The spelling of 216996000 in words is "two hundred sixteen million, nine hundred ninety-six thousand".