165036960 has 384 divisors, whose sum is σ = 661893120. Its totient is φ = 38016000.

The previous prime is 165036959. The next prime is 165036973. The reversal of 165036960 is 69630561.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092885 + ... + 1093035.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^165036960 is an apocalyptic number.

165036960 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 165036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

165036960 is an abundant number, since it is smaller than the sum of its proper divisors (496856160).

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

165036960 is a wasteful number, since it uses less digits than its factorization.

165036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 165036960 is about 12846.6711641577. The cubic root of 165036960 is about 548.5216054081.

The spelling of 165036960 in words is "one hundred sixty-five million, thirty-six thousand, nine hundred sixty".