167980320 has 288 divisors, whose sum is σ = 611380224. Its totient is φ = 41932800.

The previous prime is 167980313. The next prime is 167980327. The reversal of 167980320 is 23089761.

It is an interprime number because it is at equal distance from previous prime (167980313) and next prime (167980327).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (167980327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365885 + ... + 2365955.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 2^167980320 is an apocalyptic number.

167980320 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 167980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305690112).

167980320 is an abundant number, since it is smaller than the sum of its proper divisors (443399904).

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

167980320 is a wasteful number, since it uses less digits than its factorization.

167980320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 167980320 is about 12960.7222020997. The cubic root of 167980320 is about 551.7632885508.

The spelling of 167980320 in words is "one hundred sixty-seven million, nine hundred eighty thousand, three hundred twenty".