164063844 has 72 divisors (see below), whose sum is σ = 476199360. Its totient is φ = 46654272.

The previous prime is 164063833. The next prime is 164063869. The reversal of 164063844 is 448360461.

164063844 is a `hidden beast` number, since 1 + 640 + 6 + 3 + 8 + 4 + 4 = 666.

164063844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 164063799 and 164063808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56287 + ... + 59129.

It is an arithmetic number, because the mean of its divisors is an integer number (6613880).

Almost surely, 2^164063844 is an apocalyptic number.

164063844 is a gapful number since it is divisible by the number (14) 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 164063844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238099680).

164063844 is an abundant number, since it is smaller than the sum of its proper divisors (312135516).

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

164063844 is a wasteful number, since it uses less digits than its factorization.

164063844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 164063844 is about 12808.7409217300. The cubic root of 164063844 is about 547.4413873578.

The spelling of 164063844 in words is "one hundred sixty-four million, sixty-three thousand, eight hundred forty-four".