216644064 has 96 divisors (see below), whose sum is σ = 699955200. Its totient is φ = 57134592.

The previous prime is 216644059. The next prime is 216644069. The reversal of 216644064 is 460446612.

It is an interprime number because it is at equal distance from previous prime (216644059) and next prime (216644069).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216644069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3664 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (7291200).

Almost surely, 2^216644064 is an apocalyptic number.

216644064 is a gapful number since it is divisible by the number (24) 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 216644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

216644064 is an abundant number, since it is smaller than the sum of its proper divisors (483311136).

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

216644064 is a wasteful number, since it uses less digits than its factorization.

216644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24832 (or 24824 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 216644064 is about 14718.8336494438. The cubic root of 216644064 is about 600.5957638022.

The spelling of 216644064 in words is "two hundred sixteen million, six hundred forty-four thousand, sixty-four".