220321680 has 160 divisors (see below), whose sum is σ = 719013504. Its totient is φ = 55738368.

The previous prime is 220321679. The next prime is 220321687. The reversal of 220321680 is 86123022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220321680.

It is not an unprimeable number, because it can be changed into a prime (220321687) 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, 381552 + ... + 382128.

Almost surely, 2^220321680 is an apocalyptic number.

220321680 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 220321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359506752).

220321680 is an abundant number, since it is smaller than the sum of its proper divisors (498691824).

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

220321680 is a wasteful number, since it uses less digits than its factorization.

220321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 220321680 is about 14843.2368437615. The cubic root of 220321680 is about 603.9751608866.

The spelling of 220321680 in words is "two hundred twenty million, three hundred twenty-one thousand, six hundred eighty".