164616 has 32 divisors (see below), whose sum is σ = 434400. Its totient is φ = 51984.

The previous prime is 164599. The next prime is 164617. The reversal of 164616 is 616461.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=38.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (864) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (164617) by changing a digit.

164616 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 8655 + ... + 8673.

It is an arithmetic number, because the mean of its divisors is an integer number (13575).

2¹⁶⁴⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217200).

164616 is an abundant number, since it is smaller than the sum of its proper divisors (269784).

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

164616 is an equidigital number, since it uses as much as digits as its factorization.

164616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 24 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 164616 is about 405.7289735772. The cubic root of 164616 is about 54.8054836717.

164616 divided by its sum of digits (24) gives a cube (6859 = 19³).

It can be divided in two parts, 164 and 616, that added together give a triangular number (780 = T₃₉).

The spelling of 164616 in words is "one hundred sixty-four thousand, six hundred sixteen".