167867960 has 64 divisors (see below), whose sum is σ = 414499680. Its totient is φ = 60802560.

The previous prime is 167867951. The next prime is 167867971. The reversal of 167867960 is 69768761.

It is a junction number, because it is equal to n+sod(n) for n = 167867899 and 167867908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24515 + ... + 30605.

Almost surely, 2^167867960 is an apocalyptic number.

167867960 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 167867960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207249840).

167867960 is an abundant number, since it is smaller than the sum of its proper divisors (246631720).

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

167867960 is a wasteful number, since it uses less digits than its factorization.

167867960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 167867960 is about 12956.3868420173. The cubic root of 167867960 is about 551.6402385192.

The spelling of 167867960 in words is "one hundred sixty-seven million, eight hundred sixty-seven thousand, nine hundred sixty".