220556640 has 192 divisors, whose sum is σ = 744629760. Its totient is φ = 54681600.

The previous prime is 220556621. The next prime is 220556641. The reversal of 220556640 is 46655022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 220556598 and 220556607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220556641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1232071 + ... + 1232249.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2^220556640 is an apocalyptic number.

220556640 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 220556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

220556640 is an abundant number, since it is smaller than the sum of its proper divisors (524073120).

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

220556640 is a wasteful number, since it uses less digits than its factorization.

220556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 220556640 is about 14851.1494504634. The cubic root of 220556640 is about 604.1897858348.

The spelling of 220556640 in words is "two hundred twenty million, five hundred fifty-six thousand, six hundred forty".