164211408 has 80 divisors (see below), whose sum is σ = 476755200. Its totient is φ = 54109440.

The previous prime is 164211401. The next prime is 164211409. The reversal of 164211408 is 804112461.

It is a happy number.

164211408 is a `hidden beast` number, since 1 + 642 + 1 + 14 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164211401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36313 + ... + 40583.

It is an arithmetic number, because the mean of its divisors is an integer number (5959440).

Almost surely, 2^164211408 is an apocalyptic number.

164211408 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 164211408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238377600).

164211408 is an abundant number, since it is smaller than the sum of its proper divisors (312543792).

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

164211408 is a wasteful number, since it uses less digits than its factorization.

164211408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164211408 is about 12814.4999122088. The cubic root of 164211408 is about 547.6054666405.

Adding to 164211408 its reverse (804112461), we get a palindrome (968323869).

The spelling of 164211408 in words is "one hundred sixty-four million, two hundred eleven thousand, four hundred eight".