164643408 has 80 divisors (see below), whose sum is σ = 475535040. Its totient is φ = 54539136.

The previous prime is 164643403. The next prime is 164643421. The reversal of 164643408 is 804346461.

164643408 is a `hidden beast` number, since 1 + 6 + 4 + 643 + 4 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164643403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73635 + ... + 75837.

It is an arithmetic number, because the mean of its divisors is an integer number (5944188).

Almost surely, 2^164643408 is an apocalyptic number.

164643408 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 164643408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237767520).

164643408 is an abundant number, since it is smaller than the sum of its proper divisors (310891632).

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

164643408 is a wasteful number, since it uses less digits than its factorization.

164643408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2381 counting only the distinct ones).

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

The square root of 164643408 is about 12831.3447463623. The cubic root of 164643408 is about 548.0852514464.

Adding to 164643408 its reverse (804346461), we get a palindrome (968989869).

It can be divided in two parts, 1646 and 43408, that added together give a palindrome (45054).

The spelling of 164643408 in words is "one hundred sixty-four million, six hundred forty-three thousand, four hundred eight".