221040560 has 80 divisors (see below), whose sum is σ = 556276896. Its totient is φ = 81199104.

The previous prime is 221040559. The next prime is 221040563. The reversal of 221040560 is 65040122.

It is a happy number.

221040560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×221040560² = 97717858330227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (221040563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266867 + ... + 267693.

Almost surely, 2^221040560 is an apocalyptic number.

221040560 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 221040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278138448).

221040560 is an abundant number, since it is smaller than the sum of its proper divisors (335236336).

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

221040560 is a wasteful number, since it uses less digits than its factorization.

221040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 221040560 is about 14867.4328651587. The cubic root of 221040560 is about 604.6313442878.

Adding to 221040560 its reverse (65040122), we get a palindrome (286080682).

The spelling of 221040560 in words is "two hundred twenty-one million, forty thousand, five hundred sixty".