160753360 has 80 divisors (see below), whose sum is σ = 398077200. Its totient is φ = 60370944.

The previous prime is 160753337. The next prime is 160753363. The reversal of 160753360 is 63357061.

It can be written as a sum of positive squares in 8 ways, for example, as 7884864 + 152868496 = 2808^2 + 12364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160753363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 392836 + ... + 393244.

It is an arithmetic number, because the mean of its divisors is an integer number (4975965).

Almost surely, 2^160753360 is an apocalyptic number.

160753360 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 160753360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199038600).

160753360 is an abundant number, since it is smaller than the sum of its proper divisors (237323840).

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

160753360 is an equidigital number, since it uses as much as digits as its factorization.

160753360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 160753360 is about 12678.8548378787. The cubic root of 160753360 is about 543.7342451946.

The spelling of 160753360 in words is "one hundred sixty million, seven hundred fifty-three thousand, three hundred sixty".