164108672 has 128 divisors (see below), whose sum is σ = 410007360. Its totient is φ = 63700992.

The previous prime is 164108671. The next prime is 164108687. The reversal of 164108672 is 276801461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164108671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850208 + ... + 850400.

Almost surely, 2^164108672 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 164108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205003680).

164108672 is an abundant number, since it is smaller than the sum of its proper divisors (245898688).

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

164108672 is a wasteful number, since it uses less digits than its factorization.

164108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 164108672 is about 12810.4907009841. The cubic root of 164108672 is about 547.4912428838.

The spelling of 164108672 in words is "one hundred sixty-four million, one hundred eight thousand, six hundred seventy-two".