164812320 has 216 divisors, whose sum is σ = 587743884. Its totient is φ = 43670016.

The previous prime is 164812303. The next prime is 164812339. The reversal of 164812320 is 23218461.

164812320 is a `hidden beast` number, since 1 + 648 + 12 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159668496 + 5143824 = 12636^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049682 + ... + 1049838.

Almost surely, 2^164812320 is an apocalyptic number.

164812320 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 164812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293871942).

164812320 is an abundant number, since it is smaller than the sum of its proper divisors (422931564).

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

164812320 is an frugal number, since it uses more digits than its factorization.

164812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164812320 is about 12837.9250659910. The cubic root of 164812320 is about 548.2726190746.

The spelling of 164812320 in words is "one hundred sixty-four million, eight hundred twelve thousand, three hundred twenty".