164306032 has 40 divisors (see below), whose sum is σ = 353191680. Its totient is φ = 73414080.

The previous prime is 164306027. The next prime is 164306041. The reversal of 164306032 is 230603461.

It is a junction number, because it is equal to n+sod(n) for n = 164305988 and 164306006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2473 + ... + 18295.

It is an arithmetic number, because the mean of its divisors is an integer number (8829792).

Almost surely, 2^164306032 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 164306032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176595840).

164306032 is an abundant number, since it is smaller than the sum of its proper divisors (188885648).

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

164306032 is a wasteful number, since it uses less digits than its factorization.

164306032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15901 (or 15895 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 164306032 is about 12818.1914480944. The cubic root of 164306032 is about 547.7106291881.

Adding to 164306032 its reverse (230603461), we get a palindrome (394909493).

The spelling of 164306032 in words is "one hundred sixty-four million, three hundred six thousand, thirty-two".