164416 has 28 divisors (see below), whose sum is σ = 373888. Its totient is φ = 70272.

The previous prime is 164413. The next prime is 164419. The reversal of 164416 is 614461.

It is an interprime number because it is at equal distance from previous prime (164413) and next prime (164419).

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×164416³ = 13333786270629888, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 265 + ... + 631.

2¹⁶⁴⁴¹⁶ is an apocalyptic number.

164416 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 164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186944).

164416 is an abundant number, since it is smaller than the sum of its proper divisors (209472).

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

164416 is an equidigital number, since it uses as much as digits as its factorization.

164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 164416 is about 405.4824287192. The cubic root of 164416 is about 54.7832793927.

Adding to 164416 its reverse (614461), we get a palindrome (778877).

The spelling of 164416 in words is "one hundred sixty-four thousand, four hundred sixteen".