220688448 has 56 divisors (see below), whose sum is σ = 592165440. Its totient is φ = 72522240.

The previous prime is 220688437. The next prime is 220688459. The reversal of 220688448 is 844886022.

It is an interprime number because it is at equal distance from previous prime (220688437) and next prime (220688459).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5538 + ... + 21726.

Almost surely, 2^220688448 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 220688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296082720).

220688448 is an abundant number, since it is smaller than the sum of its proper divisors (371476992).

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

220688448 is a wasteful number, since it uses less digits than its factorization.

220688448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16275 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 220688448 is about 14855.5864239686. The cubic root of 220688448 is about 604.3101195330.

The spelling of 220688448 in words is "two hundred twenty million, six hundred eighty-eight thousand, four hundred forty-eight".