220263680 has 288 divisors, whose sum is σ = 681289728. Its totient is φ = 66355200.

The previous prime is 220263661. The next prime is 220263727. The reversal of 220263680 is 86362022.

220263680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3610850 + ... + 3610910.

Almost surely, 2^220263680 is an apocalyptic number.

220263680 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 220263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340644864).

220263680 is an abundant number, since it is smaller than the sum of its proper divisors (461026048).

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

220263680 is a wasteful number, since it uses less digits than its factorization.

220263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 220263680 is about 14841.2829634099. The cubic root of 220263680 is about 603.9221571245.

The spelling of 220263680 in words is "two hundred twenty million, two hundred sixty-three thousand, six hundred eighty".