220648320 has 192 divisors, whose sum is σ = 788439600. Its totient is φ = 58318848.

The previous prime is 220648301. The next prime is 220648367. The reversal of 220648320 is 23846022.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×220648320² = 97371362237644800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1952584 + ... + 1952696.

Almost surely, 2^220648320 is an apocalyptic number.

220648320 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 220648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394219800).

220648320 is an abundant number, since it is smaller than the sum of its proper divisors (567791280).

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

220648320 is an equidigital number, since it uses as much as digits as its factorization.

220648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 220648320 is about 14854.2357595401. The cubic root of 220648320 is about 604.2734898761.

The spelling of 220648320 in words is "two hundred twenty million, six hundred forty-eight thousand, three hundred twenty".