220988040 has 320 divisors, whose sum is σ = 847022400. Its totient is φ = 45835776.

The previous prime is 220988039. The next prime is 220988093. The reversal of 220988040 is 40889022.

It is a junction number, because it is equal to n+sod(n) for n = 220987992 and 220988010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3745531 + ... + 3745589.

It is an arithmetic number, because the mean of its divisors is an integer number (2646945).

Almost surely, 2^220988040 is an apocalyptic number.

220988040 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 220988040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423511200).

220988040 is an abundant number, since it is smaller than the sum of its proper divisors (626034360).

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

220988040 is a wasteful number, since it uses less digits than its factorization.

220988040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 220988040 is about 14865.6664835452. Note that the first 3 decimals coincide. The cubic root of 220988040 is about 604.5834529964.

The spelling of 220988040 in words is "two hundred twenty million, nine hundred eighty-eight thousand, forty".