216368064 has 112 divisors (see below), whose sum is σ = 693968640. Its totient is φ = 65560320.

The previous prime is 216368063. The next prime is 216368069. The reversal of 216368064 is 460863612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216368063) 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, 13317 + ... + 24699.

Almost surely, 2^216368064 is an apocalyptic number.

216368064 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 216368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346984320).

216368064 is an abundant number, since it is smaller than the sum of its proper divisors (477600576).

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

216368064 is a wasteful number, since it uses less digits than its factorization.

216368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11415 (or 11399 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 216368064 is about 14709.4549185209. The cubic root of 216368064 is about 600.3406066086.

The spelling of 216368064 in words is "two hundred sixteen million, three hundred sixty-eight thousand, sixty-four".