164032032 has 96 divisors (see below), whose sum is σ = 444382848. Its totient is φ = 52955136.

The previous prime is 164032019. The next prime is 164032039. The reversal of 164032032 is 230230461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (164032039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 523908 + ... + 524220.

It is an arithmetic number, because the mean of its divisors is an integer number (4628988).

Almost surely, 2^164032032 is an apocalyptic number.

164032032 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 164032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222191424).

164032032 is an abundant number, since it is smaller than the sum of its proper divisors (280350816).

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

164032032 is a wasteful number, since it uses less digits than its factorization.

164032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 164032032 is about 12807.4990532891. The cubic root of 164032032 is about 547.4060020860.

Adding to 164032032 its reverse (230230461), we get a palindrome (394262493).

The spelling of 164032032 in words is "one hundred sixty-four million, thirty-two thousand, thirty-two".