164675844 has 144 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 50112000.

The previous prime is 164675801. The next prime is 164675851. The reversal of 164675844 is 448576461.

164675844 is a `hidden beast` number, since 1 + 6 + 4 + 67 + 584 + 4 = 666.

It is a super-2 number, since 2×164675844² = 54236267194224672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164675844.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699574 + ... + 2699634.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2^164675844 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 164675844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

164675844 is an abundant number, since it is smaller than the sum of its proper divisors (290295036).

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

164675844 is a wasteful number, since it uses less digits than its factorization.

164675844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 164675844 is about 12832.6086202299. The cubic root of 164675844 is about 548.1212414001.

The spelling of 164675844 in words is "one hundred sixty-four million, six hundred seventy-five thousand, eight hundred forty-four".