220321632 has 96 divisors (see below), whose sum is σ = 617766912. Its totient is φ = 68511744.

The previous prime is 220321631. The next prime is 220321679. The reversal of 220321632 is 236123022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 220321599 and 220321608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220321631) 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 15 ways as a sum of consecutive naturals, for example, 206733 + ... + 207795.

It is an arithmetic number, because the mean of its divisors is an integer number (6435072).

Almost surely, 2^220321632 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 220321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308883456).

220321632 is an abundant number, since it is smaller than the sum of its proper divisors (397445280).

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

220321632 is a wasteful number, since it uses less digits than its factorization.

220321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 220321632 is about 14843.2352268634. The cubic root of 220321632 is about 603.9751170253.

Adding to 220321632 its reverse (236123022), we get a palindrome (456444654).

The spelling of 220321632 in words is "two hundred twenty million, three hundred twenty-one thousand, six hundred thirty-two".