220394160 has 180 divisors, whose sum is σ = 861136848. Its totient is φ = 50367744.

The previous prime is 220394131. The next prime is 220394173. The reversal of 220394160 is 61493022.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 32157 + ... + 38403.

Almost surely, 2^220394160 is an apocalyptic number.

220394160 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 220394160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430568424).

220394160 is an abundant number, since it is smaller than the sum of its proper divisors (640742688).

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

220394160 is a wasteful number, since it uses less digits than its factorization.

220394160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 220394160 is about 14845.6781589795. The cubic root of 220394160 is about 604.0413842381.

The spelling of 220394160 in words is "two hundred twenty million, three hundred ninety-four thousand, one hundred sixty".