165904848 has 120 divisors (see below), whose sum is σ = 489093696. Its totient is φ = 54432000.

The previous prime is 165904847. The next prime is 165904861. The reversal of 165904848 is 848409561.

165904848 is a `hidden beast` number, since 16 + 590 + 4 + 8 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165904847) 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, 275748 + ... + 276348.

Almost surely, 2^165904848 is an apocalyptic number.

165904848 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 165904848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244546848).

165904848 is an abundant number, since it is smaller than the sum of its proper divisors (323188848).

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

165904848 is an equidigital number, since it uses as much as digits as its factorization.

165904848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 165904848 is about 12880.4055836763. The cubic root of 165904848 is about 549.4814374023.

The spelling of 165904848 in words is "one hundred sixty-five million, nine hundred four thousand, eight hundred forty-eight".