167872068 has 384 divisors, whose sum is σ = 602112000. Its totient is φ = 39191040.

The previous prime is 167872031. The next prime is 167872079. The reversal of 167872068 is 860278761.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5415213 + ... + 5415243.

It is an arithmetic number, because the mean of its divisors is an integer number (1568000).

Almost surely, 2^167872068 is an apocalyptic number.

167872068 is a gapful number since it is divisible by the number (18) 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 167872068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301056000).

167872068 is an abundant number, since it is smaller than the sum of its proper divisors (434239932).

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

167872068 is a wasteful number, since it uses less digits than its factorization.

167872068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 167872068 is about 12956.5453728994. The cubic root of 167872068 is about 551.6447383249.

The spelling of 167872068 in words is "one hundred sixty-seven million, eight hundred seventy-two thousand, sixty-eight".