220938840 has 320 divisors, whose sum is σ = 811087200. Its totient is φ = 53747712.

The previous prime is 220938833. The next prime is 220938841. The reversal of 220938840 is 48839022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220938795 and 220938804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220938841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2277672 + ... + 2277768.

Almost surely, 2^220938840 is an apocalyptic number.

220938840 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 220938840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405543600).

220938840 is an abundant number, since it is smaller than the sum of its proper divisors (590148360).

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

220938840 is a wasteful number, since it uses less digits than its factorization.

220938840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 220938840 is about 14864.0115715778. The cubic root of 220938840 is about 604.5385822218.

The spelling of 220938840 in words is "two hundred twenty million, nine hundred thirty-eight thousand, eight hundred forty".