216000900 has 108 divisors (see below), whose sum is σ = 683674992. Its totient is φ = 57036480.

The previous prime is 216000899. The next prime is 216000959. The reversal of 216000900 is 9000612.

216000900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95179 + ... + 97421.

It is an arithmetic number, because the mean of its divisors is an integer number (6330324).

Almost surely, 2^216000900 is an apocalyptic number.

216000900 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 216000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341837496).

216000900 is an abundant number, since it is smaller than the sum of its proper divisors (467674092).

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

216000900 is a wasteful number, since it uses less digits than its factorization.

216000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 216000900 is about 14696.9690752890. The cubic root of 216000900 is about 600.0008333322. Note that the first 3 decimals are identical.

The spelling of 216000900 in words is "two hundred sixteen million, nine hundred", and thus it is an aban number.