167052006 has 96 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 47759040.

The previous prime is 167052001. The next prime is 167052019. The reversal of 167052006 is 600250761.

167052006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167052001) 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, 269565 + ... + 270183.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^167052006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167052006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

167052006 is an abundant number, since it is smaller than the sum of its proper divisors (250778394).

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

167052006 is a wasteful number, since it uses less digits than its factorization.

167052006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 167052006 is about 12924.8599992418. The cubic root of 167052006 is about 550.7450025224.

The spelling of 167052006 in words is "one hundred sixty-seven million, fifty-two thousand, six".