220634916 has 96 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 67541760.

The previous prime is 220634903. The next prime is 220634917. The reversal of 220634916 is 619436022.

220634916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220634917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684171 + ... + 1684301.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2^220634916 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 220634916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

220634916 is an abundant number, since it is smaller than the sum of its proper divisors (338200284).

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

220634916 is a wasteful number, since it uses less digits than its factorization.

220634916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 220634916 is about 14853.7845682506. The cubic root of 220634916 is about 604.2612534420.

The spelling of 220634916 in words is "two hundred twenty million, six hundred thirty-four thousand, nine hundred sixteen".