165852880 has 40 divisors (see below), whose sum is σ = 386383752. Its totient is φ = 66207744.

The previous prime is 165852859. The next prime is 165852887. The reversal of 165852880 is 88258561.

165852880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49730704 + 116122176 = 7052^2 + 10776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165852887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44364 + ... + 47956.

Almost surely, 2^165852880 is an apocalyptic number.

165852880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165852880 is an abundant number, since it is smaller than the sum of its proper divisors (220530872).

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

165852880 is a wasteful number, since it uses less digits than its factorization.

165852880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The square root of 165852880 is about 12878.3880978949. The cubic root of 165852880 is about 549.4240582605.

The spelling of 165852880 in words is "one hundred sixty-five million, eight hundred fifty-two thousand, eight hundred eighty".