164736 has 96 divisors (see below), whose sum is σ = 556920. Its totient is φ = 46080.

The previous prime is 164729. The next prime is 164743. The reversal of 164736 is 637461.

164736 = 5³ + 6³ + ... + 28³.

It is an interprime number because it is at equal distance from previous prime (164729) and next prime (164743).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12666 + ... + 12678.

2¹⁶⁴⁷³⁶ is an apocalyptic number.

164736 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 164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460).

164736 is an abundant number, since it is smaller than the sum of its proper divisors (392184).

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

164736 is a wasteful number, since it uses less digits than its factorization.

164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 29 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 164736 is about 405.8768286069. The cubic root of 164736 is about 54.8187976076.

It can be divided in two parts, 164 and 736, that added together give a square (900 = 30²).

The spelling of 164736 in words is "one hundred sixty-four thousand, seven hundred thirty-six".