220268160 has 320 divisors, whose sum is σ = 900472320. Its totient is φ = 50264064.

The previous prime is 220268129. The next prime is 220268161. The reversal of 220268160 is 61862022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220268161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362577 + ... + 363183.

It is an arithmetic number, because the mean of its divisors is an integer number (2813976).

Almost surely, 2^220268160 is an apocalyptic number.

220268160 is a gapful number since it is divisible by the number (20) 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 220268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450236160).

220268160 is an abundant number, since it is smaller than the sum of its proper divisors (680204160).

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

220268160 is an equidigital number, since it uses as much as digits as its factorization.

220268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220268160 is about 14841.4338929903. The cubic root of 220268160 is about 603.9262515398.

The spelling of 220268160 in words is "two hundred twenty million, two hundred sixty-eight thousand, one hundred sixty".