162164064 has 48 divisors (see below), whose sum is σ = 429686208. Its totient is φ = 53546112.

The previous prime is 162164059. The next prime is 162164077. The reversal of 162164064 is 460461261.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2379 + ... + 18165.

It is an arithmetic number, because the mean of its divisors is an integer number (8951796).

Almost surely, 2^162164064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214843104).

162164064 is an abundant number, since it is smaller than the sum of its proper divisors (267522144).

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

162164064 is a wasteful number, since it uses less digits than its factorization.

162164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15907 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 162164064 is about 12734.3654730026. The cubic root of 162164064 is about 545.3201429661.

The spelling of 162164064 in words is "one hundred sixty-two million, one hundred sixty-four thousand, sixty-four".