164029008 has 160 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 43845120.

The previous prime is 164028979. The next prime is 164029049. The reversal of 164029008 is 800920461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157353 + ... + 158391.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^164029008 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 164029008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

164029008 is an abundant number, since it is smaller than the sum of its proper divisors (355937712).

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

164029008 is a wasteful number, since it uses less digits than its factorization.

164029008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 164029008 is about 12807.3809969096. The cubic root of 164029008 is about 547.4026381781.

Adding to 164029008 its reverse (800920461), we get a palindrome (964949469).

The spelling of 164029008 in words is "one hundred sixty-four million, twenty-nine thousand, eight".