220320432 has 80 divisors (see below), whose sum is σ = 635514880. Its totient is φ = 73078848.

The previous prime is 220320407. The next prime is 220320437. The reversal of 220320432 is 234023022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220320437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95193 + ... + 97479.

It is an arithmetic number, because the mean of its divisors is an integer number (7943936).

Almost surely, 2^220320432 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 220320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317757440).

220320432 is an abundant number, since it is smaller than the sum of its proper divisors (415194448).

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

220320432 is a wasteful number, since it uses less digits than its factorization.

220320432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 220320432 is about 14843.1948043539. The cubic root of 220320432 is about 603.9740204898.

Adding to 220320432 its reverse (234023022), we get a palindrome (454343454).

The spelling of 220320432 in words is "two hundred twenty million, three hundred twenty thousand, four hundred thirty-two".