165744016 has 80 divisors (see below), whose sum is σ = 358262784. Its totient is φ = 73930752.

The previous prime is 165744013. The next prime is 165744031. The reversal of 165744016 is 610447561.

165744016 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 (34).

It is not an unprimeable number, because it can be changed into a prime (165744013) by changing a digit.

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, 432561 + ... + 432943.

Almost surely, 2^165744016 is an apocalyptic number.

165744016 is a gapful number since it is divisible by the number (16) 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 165744016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179131392).

165744016 is an abundant number, since it is smaller than the sum of its proper divisors (192518768).

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

165744016 is a wasteful number, since it uses less digits than its factorization.

165744016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 165744016 is about 12874.1607881834. The cubic root of 165744016 is about 549.3038199862.

The spelling of 165744016 in words is "one hundred sixty-five million, seven hundred forty-four thousand, sixteen".