165601968 has 120 divisors (see below), whose sum is σ = 501686640. Its totient is φ = 46932480.

The previous prime is 165601963. The next prime is 165601999. The reversal of 165601968 is 869106561.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (165601963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425518 + ... + 425906.

It is an arithmetic number, because the mean of its divisors is an integer number (4180722).

Almost surely, 2^165601968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165601968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250843320).

165601968 is an abundant number, since it is smaller than the sum of its proper divisors (336084672).

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

165601968 is a wasteful number, since it uses less digits than its factorization.

165601968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 165601968 is about 12868.6428188834. The cubic root of 165601968 is about 549.1468514025.

It can be divided in two parts, 16560 and 1968, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 165601968 in words is "one hundred sixty-five million, six hundred one thousand, nine hundred sixty-eight".