165832160 has 96 divisors (see below), whose sum is σ = 429160032. Its totient is φ = 60180480.

The previous prime is 165832159. The next prime is 165832181. The reversal of 165832160 is 61238561.

It is a happy number.

165832160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126227 + ... + 127533.

It is an arithmetic number, because the mean of its divisors is an integer number (4470417).

Almost surely, 2^165832160 is an apocalyptic number.

165832160 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 165832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214580016).

165832160 is an abundant number, since it is smaller than the sum of its proper divisors (263327872).

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

165832160 is a wasteful number, since it uses less digits than its factorization.

165832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 165832160 is about 12877.5836242674. The cubic root of 165832160 is about 549.4011774587.

The spelling of 165832160 in words is "one hundred sixty-five million, eight hundred thirty-two thousand, one hundred sixty".