165106720 has 96 divisors (see below), whose sum is σ = 417792816. Its totient is φ = 61440000.

The previous prime is 165106717. The next prime is 165106741. The reversal of 165106720 is 27601561.

It can be written as a sum of positive squares in 8 ways, for example, as 156650256 + 8456464 = 12516^2 + 2908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274420 + ... + 275020.

Almost surely, 2^165106720 is an apocalyptic number.

165106720 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 165106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208896408).

165106720 is an abundant number, since it is smaller than the sum of its proper divisors (252686096).

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

165106720 is a wasteful number, since it uses less digits than its factorization.

165106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 165106720 is about 12849.3859775477. The cubic root of 165106720 is about 548.5988799713.

The spelling of 165106720 in words is "one hundred sixty-five million, one hundred six thousand, seven hundred twenty".