165784320 has 432 divisors, whose sum is σ = 656222112. Its totient is φ = 39813120.

The previous prime is 165784301. The next prime is 165784337. The reversal of 165784320 is 23487561.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4043500 + ... + 4043540.

Almost surely, 2^165784320 is an apocalyptic number.

165784320 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 165784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328111056).

165784320 is an abundant number, since it is smaller than the sum of its proper divisors (490437792).

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

165784320 is an equidigital number, since it uses as much as digits as its factorization.

165784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 165784320 is about 12875.7259989486. The cubic root of 165784320 is about 549.3483411448.

The spelling of 165784320 in words is "one hundred sixty-five million, seven hundred eighty-four thousand, three hundred twenty".