216503616 has 112 divisors (see below), whose sum is σ = 670803840. Its totient is φ = 60334080.

The previous prime is 216503587. The next prime is 216503633. The reversal of 216503616 is 616305612.

It is a tau number, because it is divible by the number of its divisors (112).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53140 + ... + 57068.

It is an arithmetic number, because the mean of its divisors is an integer number (5989320).

Almost surely, 2^216503616 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 216503616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335401920).

216503616 is an abundant number, since it is smaller than the sum of its proper divisors (454300224).

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

216503616 is a wasteful number, since it uses less digits than its factorization.

216503616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 216503616 is about 14714.0618457311. The cubic root of 216503616 is about 600.4659491697.

The spelling of 216503616 in words is "two hundred sixteen million, five hundred three thousand, six hundred sixteen".