220545360 has 120 divisors (see below), whose sum is σ = 846493440. Its totient is φ = 50409216.

The previous prime is 220545343. The next prime is 220545361. The reversal of 220545360 is 63545022.

220545360 is a `hidden beast` number, since 2 + 205 + 453 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220545361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16840 + ... + 26919.

It is an arithmetic number, because the mean of its divisors is an integer number (7054112).

Almost surely, 2^220545360 is an apocalyptic number.

220545360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220545360 is an abundant number, since it is smaller than the sum of its proper divisors (625948080).

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

220545360 is a wasteful number, since it uses less digits than its factorization.

220545360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43785 (or 43776 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 220545360 is about 14850.7696770235. The cubic root of 220545360 is about 604.1794855676.

The spelling of 220545360 in words is "two hundred twenty million, five hundred forty-five thousand, three hundred sixty".