164441536 has 56 divisors (see below), whose sum is σ = 389168640. Its totient is φ = 67406592.

The previous prime is 164441533. The next prime is 164441573. The reversal of 164441536 is 635144461.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×164441536³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164441533) 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 7 ways as a sum of consecutive naturals, for example, 2325 + ... + 18283.

It is an arithmetic number, because the mean of its divisors is an integer number (6949440).

Almost surely, 2^164441536 is an apocalyptic number.

164441536 is a gapful number since it is divisible by the number (16) 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 164441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

164441536 is an abundant number, since it is smaller than the sum of its proper divisors (224727104).

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

164441536 is a wasteful number, since it uses less digits than its factorization.

164441536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16001 (or 15991 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 164441536 is about 12823.4759718260. The cubic root of 164441536 is about 547.8611543741.

Adding to 164441536 its reverse (635144461), we get a palindrome (799585997).

The spelling of 164441536 in words is "one hundred sixty-four million, four hundred forty-one thousand, five hundred thirty-six".