165231360 has 288 divisors, whose sum is σ = 671086080. Its totient is φ = 37711872.

The previous prime is 165231323. The next prime is 165231361. The reversal of 165231360 is 63132561.

165231360 is a `hidden beast` number, since 1 + 6 + 523 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (165231361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241579 + ... + 242261.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 2^165231360 is an apocalyptic number.

165231360 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 165231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

165231360 is an abundant number, since it is smaller than the sum of its proper divisors (505854720).

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

165231360 is an equidigital number, since it uses as much as digits as its factorization.

165231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 165231360 is about 12854.2350997638. The cubic root of 165231360 is about 548.7368920512.

The spelling of 165231360 in words is "one hundred sixty-five million, two hundred thirty-one thousand, three hundred sixty".