165525360 has 480 divisors, whose sum is σ = 705811968. Its totient is φ = 31150080.

The previous prime is 165525343. The next prime is 165525401. The reversal of 165525360 is 63525561.

165525360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3123094 + ... + 3123146.

Almost surely, 2^165525360 is an apocalyptic number.

165525360 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 165525360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352905984).

165525360 is an abundant number, since it is smaller than the sum of its proper divisors (540286608).

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

165525360 is a wasteful number, since it uses less digits than its factorization.

165525360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 165525360 is about 12865.6659369035. The cubic root of 165525360 is about 549.0621593117.

It can be divided in two parts, 16552 and 5360, that added together give a palindrome (21912).

The spelling of 165525360 in words is "one hundred sixty-five million, five hundred twenty-five thousand, three hundred sixty".