164709936 has 100 divisors (see below), whose sum is σ = 501883800. Its totient is φ = 52005888.

The previous prime is 164709911. The next prime is 164709947. The reversal of 164709936 is 639907461.

It is a junction number, because it is equal to n+sod(n) for n = 164709891 and 164709900.

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 19 ways as a sum of consecutive naturals, for example, 21280 + ... + 27968.

It is an arithmetic number, because the mean of its divisors is an integer number (5018838).

Almost surely, 2^164709936 is an apocalyptic number.

164709936 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 164709936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250941900).

164709936 is an abundant number, since it is smaller than the sum of its proper divisors (337173864).

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

164709936 is a wasteful number, since it uses less digits than its factorization.

164709936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 164709936 is about 12833.9368862403. The cubic root of 164709936 is about 548.1590637051.

The spelling of 164709936 in words is "one hundred sixty-four million, seven hundred nine thousand, nine hundred thirty-six".