164113920 has 240 divisors, whose sum is σ = 603242640. Its totient is φ = 41091072.

The previous prime is 164113909. The next prime is 164113921. The reversal of 164113920 is 29311461.

164113920 is a `hidden beast` number, since 1 + 641 + 13 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164113921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391471 + ... + 391889.

It is an arithmetic number, because the mean of its divisors is an integer number (2513511).

Almost surely, 2^164113920 is an apocalyptic number.

164113920 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 164113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301621320).

164113920 is an abundant number, since it is smaller than the sum of its proper divisors (439128720).

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

164113920 is a wasteful number, since it uses less digits than its factorization.

164113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 164113920 is about 12810.6955314690. The cubic root of 164113920 is about 547.4970788610.

The spelling of 164113920 in words is "one hundred sixty-four million, one hundred thirteen thousand, nine hundred twenty".