164347872 has 192 divisors, whose sum is σ = 508032000. Its totient is φ = 46061568.

The previous prime is 164347871. The next prime is 164347877. The reversal of 164347872 is 278743461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164347871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687529 + ... + 687767.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^164347872 is an apocalyptic number.

164347872 is a gapful number since it is divisible by the number (12) 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 164347872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

164347872 is an abundant number, since it is smaller than the sum of its proper divisors (343684128).

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

164347872 is a wasteful number, since it uses less digits than its factorization.

164347872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 164347872 is about 12819.8233997197. The cubic root of 164347872 is about 547.7571161562.

The spelling of 164347872 in words is "one hundred sixty-four million, three hundred forty-seven thousand, eight hundred seventy-two".