167413008 has 240 divisors, whose sum is σ = 549607680. Its totient is φ = 43610112.

The previous prime is 167412997. The next prime is 167413033. The reversal of 167413008 is 800314761.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2119113 + ... + 2119191.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032).

Almost surely, 2^167413008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167413008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274803840).

167413008 is an abundant number, since it is smaller than the sum of its proper divisors (382194672).

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

167413008 is a wasteful number, since it uses less digits than its factorization.

167413008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 167413008 is about 12938.8178749065. The cubic root of 167413008 is about 551.1414399475.

Adding to 167413008 its reverse (800314761), we get a palindrome (967727769).

The spelling of 167413008 in words is "one hundred sixty-seven million, four hundred thirteen thousand, eight".