164395008 has 120 divisors (see below), whose sum is σ = 491531040. Its totient is φ = 54743040.

The previous prime is 164395001. The next prime is 164395009. The reversal of 164395008 is 800593461.

164395008 is a `hidden beast` number, since 1 + 643 + 9 + 5 + 0 + 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 (164395001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165393 + ... + 166383.

It is an arithmetic number, because the mean of its divisors is an integer number (4096092).

Almost surely, 2^164395008 is an apocalyptic number.

164395008 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 164395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520).

164395008 is an abundant number, since it is smaller than the sum of its proper divisors (327136032).

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

164395008 is an frugal number, since it uses more digits than its factorization.

164395008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 164395008 is about 12821.6616707820. The cubic root of 164395008 is about 547.8094778756.

The spelling of 164395008 in words is "one hundred sixty-four million, three hundred ninety-five thousand, eight".