165782160 has 320 divisors, whose sum is σ = 617103360. Its totient is φ = 40803840.

The previous prime is 165782131. The next prime is 165782167. The reversal of 165782160 is 61287561.

165782160 is a `hidden beast` number, since 1 + 6 + 578 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165782167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2334925 + ... + 2334995.

It is an arithmetic number, because the mean of its divisors is an integer number (1928448).

Almost surely, 2^165782160 is an apocalyptic number.

165782160 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 165782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308551680).

165782160 is an abundant number, since it is smaller than the sum of its proper divisors (451321200).

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

165782160 is a wasteful number, since it uses less digits than its factorization.

165782160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 165782160 is about 12875.6421199100. The cubic root of 165782160 is about 549.3459553190.

The spelling of 165782160 in words is "one hundred sixty-five million, seven hundred eighty-two thousand, one hundred sixty".