220980960 has 360 divisors, whose sum is σ = 842493960. Its totient is φ = 54521856.

The previous prime is 220980923. The next prime is 220980961. The reversal of 220980960 is 69089022.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220980961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3745411 + ... + 3745469.

It is an arithmetic number, because the mean of its divisors is an integer number (2340261).

Almost surely, 2^220980960 is an apocalyptic number.

220980960 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 220980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421246980).

220980960 is an abundant number, since it is smaller than the sum of its proper divisors (621513000).

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

220980960 is a wasteful number, since it uses less digits than its factorization.

220980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 220980960 is about 14865.4283490251. The cubic root of 220980960 is about 604.5769963928.

The spelling of 220980960 in words is "two hundred twenty million, nine hundred eighty thousand, nine hundred sixty".