164072844 has 96 divisors (see below), whose sum is σ = 461979840. Its totient is φ = 50056704.

The previous prime is 164072833. The next prime is 164072851. The reversal of 164072844 is 448270461.

164072844 is a `hidden beast` number, since 1 + 640 + 7 + 2 + 8 + 4 + 4 = 666.

164072844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164072799 and 164072808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191922 + ... + 192774.

It is an arithmetic number, because the mean of its divisors is an integer number (4812290).

Almost surely, 2^164072844 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 164072844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230989920).

164072844 is an abundant number, since it is smaller than the sum of its proper divisors (297906996).

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

164072844 is a wasteful number, since it uses less digits than its factorization.

164072844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 164072844 is about 12809.0922394993. The cubic root of 164072844 is about 547.4513974495.

The spelling of 164072844 in words is "one hundred sixty-four million, seventy-two thousand, eight hundred forty-four".