220166120 has 64 divisors (see below), whose sum is σ = 520369920. Its totient is φ = 83674624.

The previous prime is 220166117. The next prime is 220166137. The reversal of 220166120 is 21661022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220166092 and 220166101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152924 + ... + 154356.

It is an arithmetic number, because the mean of its divisors is an integer number (8130780).

Almost surely, 2^220166120 is an apocalyptic number.

220166120 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 220166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260184960).

220166120 is an abundant number, since it is smaller than the sum of its proper divisors (300203800).

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

220166120 is a wasteful number, since it uses less digits than its factorization.

220166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 220166120 is about 14837.9958215387. The cubic root of 220166120 is about 603.8329801487.

The spelling of 220166120 in words is "two hundred twenty million, one hundred sixty-six thousand, one hundred twenty".