165567360 has 256 divisors, whose sum is σ = 614154240. Its totient is φ = 37158912.

The previous prime is 165567299. The next prime is 165567371. The reversal of 165567360 is 63765561.

165567360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1303617 + ... + 1303743.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^165567360 is an apocalyptic number.

165567360 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 165567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307077120).

165567360 is an abundant number, since it is smaller than the sum of its proper divisors (448586880).

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

165567360 is a wasteful number, since it uses less digits than its factorization.

165567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 165567360 is about 12867.2980846796. The cubic root of 165567360 is about 549.1085946143.

The spelling of 165567360 in words is "one hundred sixty-five million, five hundred sixty-seven thousand, three hundred sixty".