216642064 has 40 divisors (see below), whose sum is σ = 437472000. Its totient is φ = 103802496.

The previous prime is 216642053. The next prime is 216642077. The reversal of 216642064 is 460246612.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62817 + ... + 66175.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 2^216642064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216642064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).

216642064 is an abundant number, since it is smaller than the sum of its proper divisors (220829936).

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

216642064 is a wasteful number, since it uses less digits than its factorization.

216642064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 216642064 is about 14718.7657091211. The cubic root of 216642064 is about 600.5939156168.

Adding to 216642064 its reverse (460246612), we get a palindrome (676888676).

The spelling of 216642064 in words is "two hundred sixteen million, six hundred forty-two thousand, sixty-four".