220642960 has 20 divisors (see below), whose sum is σ = 512995068. Its totient is φ = 88257152.

The previous prime is 220642943. The next prime is 220642963. The reversal of 220642960 is 69246022.

220642960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61277584 + 159365376 = 7828^2 + 12624^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (220642963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1378939 + ... + 1379098.

Almost surely, 2^220642960 is an apocalyptic number.

220642960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220642960 is an abundant number, since it is smaller than the sum of its proper divisors (292352108).

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

220642960 is a wasteful number, since it uses less digits than its factorization.

220642960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758050 (or 2758044 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 220642960 is about 14854.0553385262. The cubic root of 220642960 is about 604.2685968225.

Adding to 220642960 its reverse (69246022), we get a palindrome (289888982).

The spelling of 220642960 in words is "two hundred twenty million, six hundred forty-two thousand, nine hundred sixty".