220856760 has 256 divisors, whose sum is σ = 794880000. Its totient is φ = 54369792.

The previous prime is 220856759. The next prime is 220856819. The reversal of 220856760 is 67658022.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 964326 + ... + 964554.

It is an arithmetic number, because the mean of its divisors is an integer number (3105000).

Almost surely, 2^220856760 is an apocalyptic number.

220856760 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 220856760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397440000).

220856760 is an abundant number, since it is smaller than the sum of its proper divisors (574023240).

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

220856760 is a wasteful number, since it uses less digits than its factorization.

220856760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 220856760 is about 14861.2502838758. The cubic root of 220856760 is about 604.4637098078.

The spelling of 220856760 in words is "two hundred twenty million, eight hundred fifty-six thousand, seven hundred sixty".