165416048 has 80 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 68283648.

The previous prime is 165416039. The next prime is 165416051. The reversal of 165416048 is 840614561.

Together with 214559631 it forms a betrothed pair.

It is a junction number, because it is equal to n+sod(n) for n = 165415999 and 165416017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741665 + ... + 741887.

It is an arithmetic number, because the mean of its divisors is an integer number (4749696).

Almost surely, 2^165416048 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 165416048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

165416048 is an abundant number, since it is smaller than the sum of its proper divisors (214559632).

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

165416048 is a wasteful number, since it uses less digits than its factorization.

165416048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 165416048 is about 12861.4170292390. The cubic root of 165416048 is about 548.9412668601.

The spelling of 165416048 in words is "one hundred sixty-five million, four hundred sixteen thousand, forty-eight".