165771648 has 192 divisors, whose sum is σ = 555753120. Its totient is φ = 46448640.

The previous prime is 165771647. The next prime is 165771653. The reversal of 165771648 is 846177561.

165771648 is a `hidden beast` number, since 16 + 577 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×165771648³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165771643) 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, 491736 + ... + 492072.

Almost surely, 2^165771648 is an apocalyptic number.

165771648 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 165771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277876560).

165771648 is an abundant number, since it is smaller than the sum of its proper divisors (389981472).

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

165771648 is a wasteful number, since it uses less digits than its factorization.

165771648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 165771648 is about 12875.2339007880. The cubic root of 165771648 is about 549.3343440038.

It can be divided in two parts, 16577 and 1648, that added together give a square (18225 = 135²).

The spelling of 165771648 in words is "one hundred sixty-five million, seven hundred seventy-one thousand, six hundred forty-eight".