220260960 has 72 divisors (see below), whose sum is σ = 751645440. Its totient is φ = 58735872.

The previous prime is 220260947. The next prime is 220260967. The reversal of 220260960 is 69062022.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220260967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75040 + ... + 77919.

It is an arithmetic number, because the mean of its divisors is an integer number (10439520).

Almost surely, 2^220260960 is an apocalyptic number.

220260960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220260960 is an abundant number, since it is smaller than the sum of its proper divisors (531384480).

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

220260960 is a wasteful number, since it uses less digits than its factorization.

220260960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152980 (or 152969 counting only the distinct ones).

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

The square root of 220260960 is about 14841.1913268444. The cubic root of 220260960 is about 603.9196712025.

The spelling of 220260960 in words is "two hundred twenty million, two hundred sixty thousand, nine hundred sixty".