216634944 has 112 divisors (see below), whose sum is σ = 626766336. Its totient is φ = 65740800.

The previous prime is 216634933. The next prime is 216634967. The reversal of 216634944 is 449436612.

216634944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100114 + ... + 102254.

It is an arithmetic number, because the mean of its divisors is an integer number (5596128).

Almost surely, 2^216634944 is an apocalyptic number.

216634944 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 216634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313383168).

216634944 is an abundant number, since it is smaller than the sum of its proper divisors (410131392).

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

216634944 is a wasteful number, since it uses less digits than its factorization.

216634944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2194 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 216634944 is about 14718.5238390268. The cubic root of 216634944 is about 600.5873359842.

The spelling of 216634944 in words is "two hundred sixteen million, six hundred thirty-four thousand, nine hundred forty-four".