165361240 has 96 divisors (see below), whose sum is σ = 416735280. Its totient is φ = 58560000.

The previous prime is 165361151. The next prime is 165361249. The reversal of 165361240 is 42163561.

It is a junction number, because it is equal to n+sod(n) for n = 165361199 and 165361208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165361249) 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, 1637190 + ... + 1637290.

Almost surely, 2^165361240 is an apocalyptic number.

165361240 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 165361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208367640).

165361240 is an abundant number, since it is smaller than the sum of its proper divisors (251374040).

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

165361240 is a wasteful number, since it uses less digits than its factorization.

165361240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 165361240 is about 12859.2861388181. The cubic root of 165361240 is about 548.8806324844.

The spelling of 165361240 in words is "one hundred sixty-five million, three hundred sixty-one thousand, two hundred forty".