216620064 has 144 divisors (see below), whose sum is σ = 669876480. Its totient is φ = 66147840.

The previous prime is 216620059. The next prime is 216620087. The reversal of 216620064 is 460026612.

It is a happy number.

216620064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168994 + ... + 170270.

It is an arithmetic number, because the mean of its divisors is an integer number (4651920).

Almost surely, 2^216620064 is an apocalyptic number.

216620064 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 216620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334938240).

216620064 is an abundant number, since it is smaller than the sum of its proper divisors (453256416).

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

216620064 is a wasteful number, since it uses less digits than its factorization.

216620064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 216620064 is about 14718.0183448724. The cubic root of 216620064 is about 600.5735848260.

Adding to 216620064 its reverse (460026612), we get a palindrome (676646676).

The spelling of 216620064 in words is "two hundred sixteen million, six hundred twenty thousand, sixty-four".