220736768 has 54 divisors (see below), whose sum is σ = 512576946. Its totient is φ = 94596096.

The previous prime is 220736753. The next prime is 220736807. The reversal of 220736768 is 867637022.

220736768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127961344 + 92775424 = 11312^2 + 9632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3746 + ... + 21342.

Almost surely, 2^220736768 is an apocalyptic number.

220736768 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 220736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256288473).

220736768 is an abundant number, since it is smaller than the sum of its proper divisors (291840178).

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

220736768 is an equidigital number, since it uses as much as digits as its factorization.

220736768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17627 (or 17606 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 220736768 is about 14857.2126591767. The cubic root of 220736768 is about 604.3542211226.

The spelling of 220736768 in words is "two hundred twenty million, seven hundred thirty-six thousand, seven hundred sixty-eight".