165803904 has 192 divisors, whose sum is σ = 564876000. Its totient is φ = 45674496.

The previous prime is 165803851. The next prime is 165803909. The reversal of 165803904 is 409308561.

165803904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165803909) 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, 233502 + ... + 234210.

Almost surely, 2^165803904 is an apocalyptic number.

165803904 is a gapful number since it is divisible by the number (14) 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 165803904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282438000).

165803904 is an abundant number, since it is smaller than the sum of its proper divisors (399072096).

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

165803904 is a wasteful number, since it uses less digits than its factorization.

165803904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165803904 is about 12876.4864772965. The cubic root of 165803904 is about 549.3699716873.

The spelling of 165803904 in words is "one hundred sixty-five million, eight hundred three thousand, nine hundred four".