165961200 has 240 divisors, whose sum is σ = 581212800. Its totient is φ = 40320000.

The previous prime is 165961199. The next prime is 165961207. The reversal of 165961200 is 2169561.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165961207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661075 + ... + 661325.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2^165961200 is an apocalyptic number.

165961200 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 165961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290606400).

165961200 is an abundant number, since it is smaller than the sum of its proper divisors (415251600).

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

165961200 is a wasteful number, since it uses less digits than its factorization.

165961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 165961200 is about 12882.5929067094. The cubic root of 165961200 is about 549.5436434864.

The spelling of 165961200 in words is "one hundred sixty-five million, nine hundred sixty-one thousand, two hundred".