164016360 has 128 divisors (see below), whose sum is σ = 575568000. Its totient is φ = 41430528.

The previous prime is 164016317. The next prime is 164016421. The reversal of 164016360 is 63610461.

164016360 is a `hidden beast` number, since 1 + 640 + 16 + 3 + 6 + 0 = 666.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16524 + ... + 24516.

It is an arithmetic number, because the mean of its divisors is an integer number (4496625).

Almost surely, 2^164016360 is an apocalyptic number.

164016360 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 164016360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287784000).

164016360 is an abundant number, since it is smaller than the sum of its proper divisors (411551640).

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

164016360 is a wasteful number, since it uses less digits than its factorization.

164016360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032 (or 8022 counting only the distinct ones).

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

The square root of 164016360 is about 12806.8872096228. The cubic root of 164016360 is about 547.3885680519.

The spelling of 164016360 in words is "one hundred sixty-four million, sixteen thousand, three hundred sixty".