165696048 has 180 divisors, whose sum is σ = 563432688. Its totient is φ = 45239040.

The previous prime is 165696043. The next prime is 165696067. The reversal of 165696048 is 840696561.

It is a junction number, because it is equal to n+sod(n) for n = 165695994 and 165696012.

It is not an unprimeable number, because it can be changed into a prime (165696043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161778 + ... + 162798.

Almost surely, 2^165696048 is an apocalyptic number.

165696048 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 165696048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281716344).

165696048 is an abundant number, since it is smaller than the sum of its proper divisors (397736640).

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

165696048 is a wasteful number, since it uses less digits than its factorization.

165696048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 165696048 is about 12872.2976969926. The cubic root of 165696048 is about 549.2508235069.

The spelling of 165696048 in words is "one hundred sixty-five million, six hundred ninety-six thousand, forty-eight".