220416768 has 288 divisors, whose sum is σ = 769198080. Its totient is φ = 61378560.

The previous prime is 220416737. The next prime is 220416769. The reversal of 220416768 is 867614022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220416769) 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, 988305 + ... + 988527.

Almost surely, 2^220416768 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 220416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384599040).

220416768 is an abundant number, since it is smaller than the sum of its proper divisors (548781312).

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

220416768 is a wasteful number, since it uses less digits than its factorization.

220416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 220416768 is about 14846.4395731771. The cubic root of 220416768 is about 604.0620376902.

The spelling of 220416768 in words is "two hundred twenty million, four hundred sixteen thousand, seven hundred sixty-eight".