220876640 has 48 divisors (see below), whose sum is σ = 527718240. Its totient is φ = 87352320.

The previous prime is 220876633. The next prime is 220876651. The reversal of 220876640 is 46678022.

220876640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220876640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6485 + ... + 21995.

It is an arithmetic number, because the mean of its divisors is an integer number (10994130).

Almost surely, 2^220876640 is an apocalyptic number.

220876640 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 220876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263859120).

220876640 is an abundant number, since it is smaller than the sum of its proper divisors (306841600).

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

220876640 is a wasteful number, since it uses less digits than its factorization.

220876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15615 (or 15607 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 220876640 is about 14861.9191223745. The cubic root of 220876640 is about 604.4818458130.

The spelling of 220876640 in words is "two hundred twenty million, eight hundred seventy-six thousand, six hundred forty".