220605840 has 540 divisors, whose sum is σ = 958442004. Its totient is φ = 45287424.

The previous prime is 220605817. The next prime is 220605883. The reversal of 220605840 is 48506022.

220605840 is a `hidden beast` number, since 2 + 20 + 60 + 584 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11861136 + 208744704 = 3444^2 + 14448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5962302 + ... + 5962338.

Almost surely, 2^220605840 is an apocalyptic number.

220605840 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 220605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479221002).

220605840 is an abundant number, since it is smaller than the sum of its proper divisors (737836164).

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

220605840 is a wasteful number, since it uses less digits than its factorization.

220605840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 220605840 is about 14852.8057955391. The cubic root of 220605840 is about 604.2347084261.

It can be divided in two parts, 220605 and 840, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 220605840 in words is "two hundred twenty million, six hundred five thousand, eight hundred forty".