165638480 has 160 divisors (see below), whose sum is σ = 473112576. Its totient is φ = 52641792.

The previous prime is 165638443. The next prime is 165638491. The reversal of 165638480 is 84836561.

It is a super-2 number, since 2×165638480² = 54872212113420800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208972 + ... + 1209108.

Almost surely, 2^165638480 is an apocalyptic number.

165638480 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 165638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236556288).

165638480 is an abundant number, since it is smaller than the sum of its proper divisors (307474096).

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

165638480 is a wasteful number, since it uses less digits than its factorization.

165638480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 165638480 is about 12870.0613829150. The cubic root of 165638480 is about 549.1872071557.

The spelling of 165638480 in words is "one hundred sixty-five million, six hundred thirty-eight thousand, four hundred eighty".