165480264 has 96 divisors (see below), whose sum is σ = 475183800. Its totient is φ = 51932160.

The previous prime is 165480233. The next prime is 165480307. The reversal of 165480264 is 462084561.

It can be written as a sum of positive squares in 4 ways, for example, as 117288900 + 48191364 = 10830^2 + 6942^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 84642 + ... + 86574.

Almost surely, 2^165480264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165480264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237591900).

165480264 is an abundant number, since it is smaller than the sum of its proper divisors (309703536).

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

165480264 is a wasteful number, since it uses less digits than its factorization.

165480264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 165480264 is about 12863.9132459761. The cubic root of 165480264 is about 549.0122923184.

It can be divided in two parts, 1654 and 80264, that added together give a palindrome (81918).

The spelling of 165480264 in words is "one hundred sixty-five million, four hundred eighty thousand, two hundred sixty-four".