164785320 has 256 divisors, whose sum is σ = 638668800. Its totient is φ = 37013760.

The previous prime is 164785319. The next prime is 164785349. The reversal of 164785320 is 23587461.

164785320 is a `hidden beast` number, since 1 + 647 + 8 + 5 + 3 + 2 + 0 = 666.

164785320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 536607 + ... + 536913.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^164785320 is an apocalyptic number.

164785320 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 164785320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319334400).

164785320 is an abundant number, since it is smaller than the sum of its proper divisors (473883480).

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

164785320 is a wasteful number, since it uses less digits than its factorization.

164785320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 164785320 is about 12836.8734511173. The cubic root of 164785320 is about 548.2426776051.

The spelling of 164785320 in words is "one hundred sixty-four million, seven hundred eighty-five thousand, three hundred twenty".