167220 has 36 divisors (see below), whose sum is σ = 507780. Its totient is φ = 44544.

The previous prime is 167213. The next prime is 167221. The reversal of 167220 is 22761.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 142884 = 156^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 167193 and 167202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167221) by changing a digit.

167220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2¹⁶⁷²²⁰ is an apocalyptic number.

167220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167220 is an abundant number, since it is smaller than the sum of its proper divisors (340560).

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

167220 is a wasteful number, since it uses less digits than its factorization.

167220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 167220 is about 408.9254210733. The cubic root of 167220 is about 55.0929557542.

Adding to 167220 its reverse (22761), we get a palindrome (189981).

The spelling of 167220 in words is "one hundred sixty-seven thousand, two hundred twenty".