164320512 has 72 divisors (see below), whose sum is σ = 460390560. Its totient is φ = 51886080.

The previous prime is 164320459. The next prime is 164320517. The reversal of 164320512 is 215023461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164320517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8962 + ... + 20222.

Almost surely, 2^164320512 is an apocalyptic number.

164320512 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 164320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230195280).

164320512 is an abundant number, since it is smaller than the sum of its proper divisors (296070048).

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

164320512 is a wasteful number, since it uses less digits than its factorization.

164320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11299 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164320512 is about 12818.7562579214. The cubic root of 164320512 is about 547.7267183052.

Adding to 164320512 its reverse (215023461), we get a palindrome (379343973).

It can be divided in two parts, 1643 and 20512, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 164320512 in words is "one hundred sixty-four million, three hundred twenty thousand, five hundred twelve".