165288240 has 120 divisors (see below), whose sum is σ = 597826320. Its totient is φ = 40684032.

The previous prime is 165288209. The next prime is 165288247. The reversal of 165288240 is 42882561.

165288240 is a `hidden beast` number, since 16 + 528 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 165288195 and 165288204.

It is not an unprimeable number, because it can be changed into a prime (165288247) 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, 531 + ... + 18189.

It is an arithmetic number, because the mean of its divisors is an integer number (4981886).

Almost surely, 2^165288240 is an apocalyptic number.

165288240 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 165288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298913160).

165288240 is an abundant number, since it is smaller than the sum of its proper divisors (432538080).

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

165288240 is a wasteful number, since it uses less digits than its factorization.

165288240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17691 (or 17682 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 165288240 is about 12856.4474097629. The cubic root of 165288240 is about 548.7998513941.

The spelling of 165288240 in words is "one hundred sixty-five million, two hundred eighty-eight thousand, two hundred forty".