220345680 has 80 divisors (see below), whose sum is σ = 689420160. Its totient is φ = 58212864.

The previous prime is 220345667. The next prime is 220345691. The reversal of 220345680 is 86543022.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21949 + ... + 30371.

It is an arithmetic number, because the mean of its divisors is an integer number (8617752).

Almost surely, 2^220345680 is an apocalyptic number.

220345680 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 220345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344710080).

220345680 is an abundant number, since it is smaller than the sum of its proper divisors (469074480).

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

220345680 is a wasteful number, since it uses less digits than its factorization.

220345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 220345680 is about 14844.0452707475. The cubic root of 220345680 is about 603.9970907569.

The spelling of 220345680 in words is "two hundred twenty million, three hundred forty-five thousand, six hundred eighty".