216000512 has 192 divisors, whose sum is σ = 568713600. Its totient is φ = 79626240.

The previous prime is 216000509. The next prime is 216000539. The reversal of 216000512 is 215000612.

It is a super-3 number, since 3×216000512³ (a number of 26 digits) contains 333 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 216000512 = 8³ + 600³ = 332³ + 564³.

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 15 ways as a sum of consecutive naturals, for example, 3540962 + ... + 3541022.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2^216000512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

216000512 is an abundant number, since it is smaller than the sum of its proper divisors (352713088).

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

216000512 is a wasteful number, since it uses less digits than its factorization.

216000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 216000512 is about 14696.9558752825. The cubic root of 216000512 is about 600.0004740737. Note that the first 3 decimals are identical.

It can be divided in two parts, 216000 and 512, that multiplied together give a cube (110592000 = 480³).

The spelling of 216000512 in words is "two hundred sixteen million, five hundred twelve", and thus it is an aban number.