165612160 has 96 divisors (see below), whose sum is σ = 460643220. Its totient is φ = 56770560.

The previous prime is 165612157. The next prime is 165612169. The reversal of 165612160 is 61216561.

It can be written as a sum of positive squares in 2 ways, for example, as 153165376 + 12446784 = 12376^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (165612169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28720 + ... + 34000.

Almost surely, 2^165612160 is an apocalyptic number.

165612160 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 165612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230321610).

165612160 is an abundant number, since it is smaller than the sum of its proper divisors (295031060).

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

165612160 is an equidigital number, since it uses as much as digits as its factorization.

165612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 165612160 is about 12869.0388141461. The cubic root of 165612160 is about 549.1581169488.

It can be divided in two parts, 16561 and 2160, that added together give a triangular number (18721 = T₁₉₃).

The spelling of 165612160 in words is "one hundred sixty-five million, six hundred twelve thousand, one hundred sixty".