164147328 has 96 divisors (see below), whose sum is σ = 477956700. Its totient is φ = 54067200.

The previous prime is 164147317. The next prime is 164147329. The reversal of 164147328 is 823741461.

164147328 is a `hidden beast` number, since 1 + 641 + 4 + 7 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157552704 + 6594624 = 12552^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 164147292 and 164147301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164147329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101728 + ... + 103328.

Almost surely, 2^164147328 is an apocalyptic number.

164147328 is a gapful number since it is divisible by the number (18) 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 164147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238978350).

164147328 is an abundant number, since it is smaller than the sum of its proper divisors (313809372).

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

164147328 is a wasteful number, since it uses less digits than its factorization.

164147328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1695 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 164147328 is about 12811.9993755854. Note that the first 3 decimals coincide. The cubic root of 164147328 is about 547.5342269214.

Adding to 164147328 its reverse (823741461), we get a palindrome (987888789).

The spelling of 164147328 in words is "one hundred sixty-four million, one hundred forty-seven thousand, three hundred twenty-eight".