165606768 has 100 divisors (see below), whose sum is σ = 488560248. Its totient is φ = 54138240.

The previous prime is 165606761. The next prime is 165606769. The reversal of 165606768 is 867606561.

165606768 is a `hidden beast` number, since 16 + 560 + 6 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165606761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67483 + ... + 69893.

Almost surely, 2^165606768 is an apocalyptic number.

165606768 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 165606768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244280124).

165606768 is an abundant number, since it is smaller than the sum of its proper divisors (322953480).

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

165606768 is a wasteful number, since it uses less digits than its factorization.

165606768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 165606768 is about 12868.8293173855. The cubic root of 165606768 is about 549.1521570549.

The spelling of 165606768 in words is "one hundred sixty-five million, six hundred six thousand, seven hundred sixty-eight".