164836368 has 60 divisors (see below), whose sum is σ = 466108188. Its totient is φ = 54374400.

The previous prime is 164836367. The next prime is 164836387. The reversal of 164836368 is 863638461.

164836368 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 3 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80784144 + 84052224 = 8988^2 + 9168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (164836367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8068 + ... + 19868.

Almost surely, 2^164836368 is an apocalyptic number.

164836368 is a gapful number since it is divisible by the number (18) 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 164836368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233054094).

164836368 is an abundant number, since it is smaller than the sum of its proper divisors (301271820).

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

164836368 is a wasteful number, since it uses less digits than its factorization.

164836368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912 (or 11903 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 164836368 is about 12838.8616317803. The cubic root of 164836368 is about 548.2992841903.

It can be divided in two parts, 16 and 4836368, that added together give a palindrome (4836384).

The spelling of 164836368 in words is "one hundred sixty-four million, eight hundred thirty-six thousand, three hundred sixty-eight".