164027808 has 192 divisors, whose sum is σ = 562302720. Its totient is φ = 45536256.

The previous prime is 164027807. The next prime is 164027833. The reversal of 164027808 is 808720461.

164027808 is a `hidden beast` number, since 1 + 640 + 2 + 7 + 8 + 0 + 8 = 666.

164027808 is digitally balanced in base 2 and base 3, because in such bases 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 not an unprimeable number, because it can be changed into a prime (164027803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223410 + ... + 224142.

It is an arithmetic number, because the mean of its divisors is an integer number (2928660).

Almost surely, 2^164027808 is an apocalyptic number.

164027808 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 164027808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281151360).

164027808 is an abundant number, since it is smaller than the sum of its proper divisors (398274912).

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

164027808 is a wasteful number, since it uses less digits than its factorization.

164027808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 164027808 is about 12807.3341488383. The cubic root of 164027808 is about 547.4013032826.

The spelling of 164027808 in words is "one hundred sixty-four million, twenty-seven thousand, eight hundred eight".