220663040 has 144 divisors (see below), whose sum is σ = 579474000. Its totient is φ = 80019456.

The previous prime is 220663033. The next prime is 220663061. The reversal of 220663040 is 40366022.

It can be written as a sum of positive squares in 8 ways, for example, as 80856064 + 139806976 = 8992^2 + 11824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220662997 and 220663015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480886 + ... + 1481034.

It is an arithmetic number, because the mean of its divisors is an integer number (4024125).

Almost surely, 2^220663040 is an apocalyptic number.

220663040 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 220663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289737000).

220663040 is an abundant number, since it is smaller than the sum of its proper divisors (358810960).

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

220663040 is a wasteful number, since it uses less digits than its factorization.

220663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 220663040 is about 14854.7312328430. The cubic root of 220663040 is about 604.2869271081.

The spelling of 220663040 in words is "two hundred twenty million, six hundred sixty-three thousand, forty".