165483360 has 144 divisors (see below), whose sum is σ = 645424416. Its totient is φ = 37822464.

The previous prime is 165483359. The next prime is 165483371. The reversal of 165483360 is 63384561.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1872 + ... + 18288.

It is an arithmetic number, because the mean of its divisors is an integer number (4482114).

Almost surely, 2^165483360 is an apocalyptic number.

165483360 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 165483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322712208).

165483360 is an abundant number, since it is smaller than the sum of its proper divisors (479941056).

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

165483360 is a wasteful number, since it uses less digits than its factorization.

165483360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16445 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 165483360 is about 12864.0335820457. The cubic root of 165483360 is about 549.0157161536.

The spelling of 165483360 in words is "one hundred sixty-five million, four hundred eighty-three thousand, three hundred sixty".