165630520 has 64 divisors (see below), whose sum is σ = 419696640. Its totient is φ = 58281600.

The previous prime is 165630511. The next prime is 165630527. The reversal of 165630520 is 25036561.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165630527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7569 + ... + 19711.

It is an arithmetic number, because the mean of its divisors is an integer number (6557760).

Almost surely, 2^165630520 is an apocalyptic number.

165630520 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 165630520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209848320).

165630520 is an abundant number, since it is smaller than the sum of its proper divisors (254066120).

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

165630520 is a wasteful number, since it uses less digits than its factorization.

165630520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196 (or 12192 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 165630520 is about 12869.7521343653. The cubic root of 165630520 is about 549.1784096827.

The spelling of 165630520 in words is "one hundred sixty-five million, six hundred thirty thousand, five hundred twenty".