165104640 has 132 divisors (see below), whose sum is σ = 572242944. Its totient is φ = 44015616.

The previous prime is 165104633. The next prime is 165104647. The reversal of 165104640 is 46401561.

165104640 is a `hidden beast` number, since 1 + 6 + 5 + 10 + 4 + 640 = 666.

165104640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165104633) and next prime (165104647).

It is not an unprimeable number, because it can be changed into a prime (165104647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44289 + ... + 47871.

Almost surely, 2^165104640 is an apocalyptic number.

165104640 is a gapful number since it is divisible by the number (10) 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 165104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286121472).

165104640 is an abundant number, since it is smaller than the sum of its proper divisors (407138304).

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

165104640 is a wasteful number, since it uses less digits than its factorization.

165104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 165104640 is about 12849.3050395732. The cubic root of 165104640 is about 548.5965762281.

The spelling of 165104640 in words is "one hundred sixty-five million, one hundred four thousand, six hundred forty".