167272668 has 48 divisors (see below), whose sum is σ = 435644160. Its totient is φ = 55503792.

The previous prime is 167272649. The next prime is 167272681. The reversal of 167272668 is 866272761.

167272668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21105 + ... + 27927.

It is an arithmetic number, because the mean of its divisors is an integer number (9075920).

Almost surely, 2^167272668 is an apocalyptic number.

167272668 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 167272668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217822080).

167272668 is an abundant number, since it is smaller than the sum of its proper divisors (268371492).

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

167272668 is a wasteful number, since it uses less digits than its factorization.

167272668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7055 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 167272668 is about 12933.3935221967. The cubic root of 167272668 is about 550.9873921553.

The spelling of 167272668 in words is "one hundred sixty-seven million, two hundred seventy-two thousand, six hundred sixty-eight".