164590160 has 160 divisors (see below), whose sum is σ = 476160000. Its totient is φ = 51632640.

The previous prime is 164590159. The next prime is 164590163. The reversal of 164590160 is 61095461.

164590160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164590163) 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, 329591 + ... + 330089.

It is an arithmetic number, because the mean of its divisors is an integer number (2976000).

Almost surely, 2^164590160 is an apocalyptic number.

164590160 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 164590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080000).

164590160 is an abundant number, since it is smaller than the sum of its proper divisors (311569840).

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

164590160 is a wasteful number, since it uses less digits than its factorization.

164590160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 164590160 is about 12829.2696596494. The cubic root of 164590160 is about 548.0261589090.

The spelling of 164590160 in words is "one hundred sixty-four million, five hundred ninety thousand, one hundred sixty".