216338640 has 160 divisors (see below), whose sum is σ = 773093376. Its totient is φ = 49021440.

The previous prime is 216338609. The next prime is 216338641. The reversal of 216338640 is 46833612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216338641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219589 + ... + 220571.

Almost surely, 2^216338640 is an apocalyptic number.

216338640 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 216338640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386546688).

216338640 is an abundant number, since it is smaller than the sum of its proper divisors (556754736).

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

216338640 is a wasteful number, since it uses less digits than its factorization.

216338640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 216338640 is about 14708.4547114916. The cubic root of 216338640 is about 600.3133918363.

The spelling of 216338640 in words is "two hundred sixteen million, three hundred thirty-eight thousand, six hundred forty".