220517040 has 160 divisors (see below), whose sum is σ = 739595520. Its totient is φ = 54162432.

The previous prime is 220517039. The next prime is 220517041. The reversal of 220517040 is 40715022.

It is an interprime number because it is at equal distance from previous prime (220517039) and next prime (220517041).

It is a junction number, because it is equal to n+sod(n) for n = 220516998 and 220517016.

It is not an unprimeable number, because it can be changed into a prime (220517041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168067 + ... + 169373.

It is an arithmetic number, because the mean of its divisors is an integer number (4622472).

Almost surely, 2^220517040 is an apocalyptic number.

220517040 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 220517040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369797760).

220517040 is an abundant number, since it is smaller than the sum of its proper divisors (519078480).

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

220517040 is a wasteful number, since it uses less digits than its factorization.

220517040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 220517040 is about 14849.8161604782. The cubic root of 220517040 is about 604.1536237744.

The spelling of 220517040 in words is "two hundred twenty million, five hundred seventeen thousand, forty".