165207680 has 128 divisors (see below), whose sum is σ = 445340160. Its totient is φ = 58060800.

The previous prime is 165207671. The next prime is 165207697. The reversal of 165207680 is 86702561.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 165207680.

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, 217862 + ... + 218618.

It is an arithmetic number, because the mean of its divisors is an integer number (3479220).

Almost surely, 2^165207680 is an apocalyptic number.

165207680 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 165207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222670080).

165207680 is an abundant number, since it is smaller than the sum of its proper divisors (280132480).

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

165207680 is a wasteful number, since it uses less digits than its factorization.

165207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 165207680 is about 12853.3139695566. The cubic root of 165207680 is about 548.7106768694.

The spelling of 165207680 in words is "one hundred sixty-five million, two hundred seven thousand, six hundred eighty".