165911328 has 270 divisors, whose sum is σ = 560664027. Its totient is φ = 48090240.

The previous prime is 165911321. The next prime is 165911357. The reversal of 165911328 is 823119561.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 82955664 + 82955664 = 9108^2 + 9108^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9108.

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

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

Its product of digits (12960) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 165911292 and 165911301.

It is not an unprimeable number, because it can be changed into a prime (165911321) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 7213525 + ... + 7213547.

Almost surely, 2^165911328 is an apocalyptic number.

165911328 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 165911328

165911328 is an abundant number, since it is smaller than the sum of its proper divisors (394752699).

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

165911328 is a wasteful number, since it uses less digits than its factorization.

165911328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 165911328 is about 12880.6571260941. The cubic root of 165911328 is about 549.4885912888.

The spelling of 165911328 in words is "one hundred sixty-five million, nine hundred eleven thousand, three hundred twenty-eight".