164701536 has 96 divisors (see below), whose sum is σ = 446197248. Its totient is φ = 53168640.

The previous prime is 164701529. The next prime is 164701547. The reversal of 164701536 is 635107461.

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

It is a junction number, because it is equal to n+sod(n) for n = 164701497 and 164701506.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 780471 + ... + 780681.

It is an arithmetic number, because the mean of its divisors is an integer number (4647888).

Almost surely, 2^164701536 is an apocalyptic number.

164701536 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 164701536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223098624).

164701536 is an abundant number, since it is smaller than the sum of its proper divisors (281495712).

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

164701536 is a wasteful number, since it uses less digits than its factorization.

164701536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 164701536 is about 12833.6096247315. The cubic root of 164701536 is about 548.1497450720.

Adding to 164701536 its reverse (635107461), we get a palindrome (799808997).

The spelling of 164701536 in words is "one hundred sixty-four million, seven hundred one thousand, five hundred thirty-six".