167666220 has 96 divisors (see below), whose sum is σ = 534421440. Its totient is φ = 43614720.

The previous prime is 167666209. The next prime is 167666281. The reversal of 167666220 is 22666761.

It is a super-2 number, since 2×167666220² = 56223922658176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18354 + ... + 25926.

It is an arithmetic number, because the mean of its divisors is an integer number (5566890).

Almost surely, 2^167666220 is an apocalyptic number.

167666220 is a gapful number since it is divisible by the number (10) 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 167666220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267210720).

167666220 is an abundant number, since it is smaller than the sum of its proper divisors (366755220).

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

167666220 is a wasteful number, since it uses less digits than its factorization.

167666220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 167666220 is about 12948.5991520319. The cubic root of 167666220 is about 551.4191669250.

It can be divided in two parts, 1676 and 66220, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 167666220 in words is "one hundred sixty-seven million, six hundred sixty-six thousand, two hundred twenty".