164011680 has 288 divisors, whose sum is σ = 653837184. Its totient is φ = 36661248.

The previous prime is 164011657. The next prime is 164011691. The reversal of 164011680 is 86110461.

164011680 is a `hidden beast` number, since 1 + 640 + 1 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 534087 + ... + 534393.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 2^164011680 is an apocalyptic number.

164011680 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 164011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326918592).

164011680 is an abundant number, since it is smaller than the sum of its proper divisors (489825504).

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

164011680 is a wasteful number, since it uses less digits than its factorization.

164011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 164011680 is about 12806.7044941312. The cubic root of 164011680 is about 547.3833616549.

It can be divided in two parts, 16401 and 1680, that added together give a palindrome (18081).

The spelling of 164011680 in words is "one hundred sixty-four million, eleven thousand, six hundred eighty".