164601360 has 240 divisors, whose sum is σ = 689420160. Its totient is φ = 34191360.

The previous prime is 164601341. The next prime is 164601373. The reversal of 164601360 is 63106461.

164601360 is a `hidden beast` number, since 1 + 646 + 0 + 13 + 6 + 0 = 666.

164601360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53956 + ... + 56924.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^164601360 is an apocalyptic number.

164601360 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 164601360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344710080).

164601360 is an abundant number, since it is smaller than the sum of its proper divisors (524818800).

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

164601360 is a wasteful number, since it uses less digits than its factorization.

164601360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 164601360 is about 12829.7061540785. The cubic root of 164601360 is about 548.0385892871.

The spelling of 164601360 in words is "one hundred sixty-four million, six hundred one thousand, three hundred sixty".