216516000 has 96 divisors (see below), whose sum is σ = 709345728. Its totient is φ = 57734400.

The previous prime is 216515989. The next prime is 216516019. The reversal of 216516000 is 615612.

It is a happy number.

216516000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979 + ... + 21021.

It is an arithmetic number, because the mean of its divisors is an integer number (7389018).

Almost surely, 2^216516000 is an apocalyptic number.

216516000 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 216516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354672864).

216516000 is an abundant number, since it is smaller than the sum of its proper divisors (492829728).

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

216516000 is a wasteful number, since it uses less digits than its factorization.

216516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18071 (or 18053 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 216516000 is about 14714.4826616501. The cubic root of 216516000 is about 600.4773978292.

The spelling of 216516000 in words is "two hundred sixteen million, five hundred sixteen thousand".