164108160 has 128 divisors (see below), whose sum is σ = 581277600. Its totient is φ = 43757568.

The previous prime is 164108099. The next prime is 164108171. The reversal of 164108160 is 61801461.

164108160 is a `hidden beast` number, since 1 + 641 + 0 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12532 + ... + 22028.

Almost surely, 2^164108160 is an apocalyptic number.

164108160 is a gapful number since it is divisible by the number (10) 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 164108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290638800).

164108160 is an abundant number, since it is smaller than the sum of its proper divisors (417169440).

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

164108160 is an equidigital number, since it uses as much as digits as its factorization.

164108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 164108160 is about 12810.4707173468. The cubic root of 164108160 is about 547.4906735135.

The spelling of 164108160 in words is "one hundred sixty-four million, one hundred eight thousand, one hundred sixty".