220840648 has 96 divisors (see below), whose sum is σ = 513000000. Its totient is φ = 88615296.

The previous prime is 220840619. The next prime is 220840657. The reversal of 220840648 is 846048022.

It is a super-3 number, since 3×220840648³ (a number of 26 digits) contains 333 as substring.

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, 1109653 + ... + 1109851.

It is an arithmetic number, because the mean of its divisors is an integer number (5343750).

Almost surely, 2^220840648 is an apocalyptic number.

220840648 is a gapful number since it is divisible by the number (28) 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 220840648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256500000).

220840648 is an abundant number, since it is smaller than the sum of its proper divisors (292159352).

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

220840648 is a wasteful number, since it uses less digits than its factorization.

220840648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 220840648 is about 14860.7081930842. The cubic root of 220840648 is about 604.4490104523.

The spelling of 220840648 in words is "two hundred twenty million, eight hundred forty thousand, six hundred forty-eight".