164505960 has 96 divisors (see below), whose sum is σ = 547129440. Its totient is φ = 42844032.

The previous prime is 164505949. The next prime is 164506037. The reversal of 164505960 is 69505461.

164505960 is a `hidden beast` number, since 1 + 64 + 5 + 0 + 596 + 0 = 666.

164505960 is digitally balanced in base 3, because in such base 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 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 23 ways as a sum of consecutive naturals, for example, 10167 + ... + 20793.

It is an arithmetic number, because the mean of its divisors is an integer number (5699265).

Almost surely, 2^164505960 is an apocalyptic number.

164505960 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 164505960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273564720).

164505960 is an abundant number, since it is smaller than the sum of its proper divisors (382623480).

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

164505960 is a wasteful number, since it uses less digits than its factorization.

164505960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 164505960 is about 12825.9876812665. The cubic root of 164505960 is about 547.9326910422.

The spelling of 164505960 in words is "one hundred sixty-four million, five hundred five thousand, nine hundred sixty".