165456768 has 128 divisors (see below), whose sum is σ = 457776000. Its totient is φ = 52918272.

The previous prime is 165456761. The next prime is 165456787. The reversal of 165456768 is 867654561.

It is a Cunningham number, because it is equal to 12863²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1209600) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165456761) 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 15 ways as a sum of consecutive naturals, for example, 1517898 + ... + 1518006.

It is an arithmetic number, because the mean of its divisors is an integer number (3576375).

Almost surely, 2^165456768 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 165456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228888000).

165456768 is an abundant number, since it is smaller than the sum of its proper divisors (292319232).

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

165456768 is a wasteful number, since it uses less digits than its factorization.

165456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 165456768 is about 12862.9999611288. Note that the first 4 decimals coincide. The cubic root of 165456768 is about 548.9863069368.

The spelling of 165456768 in words is "one hundred sixty-five million, four hundred fifty-six thousand, seven hundred sixty-eight".