165638260 has 24 divisors (see below), whose sum is σ = 349090056. Its totient is φ = 66017280.

The previous prime is 165638251. The next prime is 165638261. The reversal of 165638260 is 62836561.

It can be written as a sum of positive squares in 4 ways, for example, as 12027024 + 153611236 = 3468^2 + 12394^2 .

It is a super-3 number, since 3×165638260³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165638261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9117 + ... + 20356.

It is an arithmetic number, because the mean of its divisors is an integer number (14545419).

Almost surely, 2^165638260 is an apocalyptic number.

165638260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165638260 is an abundant number, since it is smaller than the sum of its proper divisors (183451796).

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

165638260 is a wasteful number, since it uses less digits than its factorization.

165638260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29763 (or 29761 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 165638260 is about 12870.0528359444. The cubic root of 165638260 is about 549.1869640133.

The spelling of 165638260 in words is "one hundred sixty-five million, six hundred thirty-eight thousand, two hundred sixty".