220060416 has 72 divisors (see below), whose sum is σ = 591688944. Its totient is φ = 72601600.

The previous prime is 220060387. The next prime is 220060417. The reversal of 220060416 is 614060022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220060392 and 220060401.

It is not an unprimeable number, because it can be changed into a prime (220060417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76150 + ... + 78986.

It is an arithmetic number, because the mean of its divisors is an integer number (8217902).

Almost surely, 2^220060416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295844472).

220060416 is an abundant number, since it is smaller than the sum of its proper divisors (371628528).

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

220060416 is a wasteful number, since it uses less digits than its factorization.

220060416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 220060416 is about 14834.4334573316. The cubic root of 220060416 is about 603.7363292216.

The spelling of 220060416 in words is "two hundred twenty million, sixty thousand, four hundred sixteen".