216064000 has 112 divisors (see below), whose sum is σ = 541818576. Its totient is φ = 86016000.

The previous prime is 216063983. The next prime is 216064003. The reversal of 216064000 is 460612.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216064003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023895 + ... + 1024105.

Almost surely, 2^216064000 is an apocalyptic number.

216064000 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 216064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270909288).

216064000 is an abundant number, since it is smaller than the sum of its proper divisors (325754576).

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

216064000 is an frugal number, since it uses more digits than its factorization.

216064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 216064000 is about 14699.1156196555. The cubic root of 216064000 is about 600.0592534075.

The spelling of 216064000 in words is "two hundred sixteen million, sixty-four thousand".