220556672 has 64 divisors (see below), whose sum is σ = 509379840. Its totient is φ = 93166080.

The previous prime is 220556659. The next prime is 220556717. The reversal of 220556672 is 276655022.

220556672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61883 + ... + 65349.

It is an arithmetic number, because the mean of its divisors is an integer number (7959060).

Almost surely, 2^220556672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254689920).

220556672 is an abundant number, since it is smaller than the sum of its proper divisors (288823168).

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

220556672 is an equidigital number, since it uses as much as digits as its factorization.

220556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 220556672 is about 14851.1505278211. The cubic root of 220556672 is about 604.1898150549.

The spelling of 220556672 in words is "two hundred twenty million, five hundred fifty-six thousand, six hundred seventy-two".