220381560 has 384 divisors, whose sum is σ = 880588800. Its totient is φ = 48522240.

The previous prime is 220381549. The next prime is 220381597. The reversal of 220381560 is 65183022.

220381560 is a `hidden beast` number, since 2 + 20 + 3 + 81 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2789601 + ... + 2789679.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^220381560 is an apocalyptic number.

220381560 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 220381560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

220381560 is an abundant number, since it is smaller than the sum of its proper divisors (660207240).

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

220381560 is a wasteful number, since it uses less digits than its factorization.

220381560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 220381560 is about 14845.2537869853. The cubic root of 220381560 is about 604.0298729432.

The spelling of 220381560 in words is "two hundred twenty million, three hundred eighty-one thousand, five hundred sixty".