164191104 has 256 divisors, whose sum is σ = 605145600. Its totient is φ = 42577920.

The previous prime is 164191099. The next prime is 164191123. The reversal of 164191104 is 401191461.

164191104 is a `hidden beast` number, since 1 + 641 + 9 + 1 + 10 + 4 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265804 + ... + 266420.

It is an arithmetic number, because the mean of its divisors is an integer number (2363850).

Almost surely, 2^164191104 is an apocalyptic number.

164191104 is a gapful number since it is divisible by the number (14) 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 164191104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302572800).

164191104 is an abundant number, since it is smaller than the sum of its proper divisors (440954496).

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

164191104 is a wasteful number, since it uses less digits than its factorization.

164191104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 164191104 is about 12813.7076601583. The cubic root of 164191104 is about 547.5828960615.

164191104 divided by its product of nonzero digits (864) gives a triangular number (190036 = T₆₁₆).

The spelling of 164191104 in words is "one hundred sixty-four million, one hundred ninety-one thousand, one hundred four".