165720480 has 96 divisors (see below), whose sum is σ = 529913664. Its totient is φ = 43524096.

The previous prime is 165720473. The next prime is 165720481. The reversal of 165720480 is 84027561.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (165720481) 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 15 ways as a sum of consecutive naturals, for example, 29584 + ... + 34736.

It is an arithmetic number, because the mean of its divisors is an integer number (5519934).

Almost surely, 2^165720480 is an apocalyptic number.

165720480 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 165720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264956832).

165720480 is an abundant number, since it is smaller than the sum of its proper divisors (364193184).

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

165720480 is a wasteful number, since it uses less digits than its factorization.

165720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 165720480 is about 12873.2466767323. The cubic root of 165720480 is about 549.2778179882.

The spelling of 165720480 in words is "one hundred sixty-five million, seven hundred twenty thousand, four hundred eighty".