164833920 has 128 divisors (see below), whose sum is σ = 583848000. Its totient is φ = 43951104.

The previous prime is 164833901. The next prime is 164833951. The reversal of 164833920 is 29338461.

164833920 is a `hidden beast` number, since 1 + 648 + 3 + 3 + 9 + 2 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12511 + ... + 22049.

Almost surely, 2^164833920 is an apocalyptic number.

164833920 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 164833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291924000).

164833920 is an abundant number, since it is smaller than the sum of its proper divisors (419014080).

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

164833920 is an equidigital number, since it uses as much as digits as its factorization.

164833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9567 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 164833920 is about 12838.7662958713. The cubic root of 164833920 is about 548.2965698959.

The spelling of 164833920 in words is "one hundred sixty-four million, eight hundred thirty-three thousand, nine hundred twenty".