165799040 has 96 divisors (see below), whose sum is σ = 435875580. Its totient is φ = 60262400.

The previous prime is 165799001. The next prime is 165799043. The reversal of 165799040 is 40997561.

It can be written as a sum of positive squares in 2 ways, for example, as 158357056 + 7441984 = 12584^2 + 2728^2 .

It is not an unprimeable number, because it can be changed into a prime (165799043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76370 + ... + 78510.

Almost surely, 2^165799040 is an apocalyptic number.

165799040 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 165799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217937790).

165799040 is an abundant number, since it is smaller than the sum of its proper divisors (270076540).

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

165799040 is a wasteful number, since it uses less digits than its factorization.

165799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 165799040 is about 12876.2976045135. The cubic root of 165799040 is about 549.3645995547.

The spelling of 165799040 in words is "one hundred sixty-five million, seven hundred ninety-nine thousand, forty".