160163840 has 48 divisors (see below), whose sum is σ = 384323940. Its totient is φ = 64061440.

The previous prime is 160163833. The next prime is 160163849. The reversal of 160163840 is 48361061.

It can be written as a sum of positive squares in 2 ways, for example, as 147088384 + 13075456 = 12128^2 + 3616^2 .

It is a super-3 number, since 3×160163840³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160163849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2420 + ... + 18060.

Almost surely, 2^160163840 is an apocalyptic number.

160163840 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 160163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192161970).

160163840 is an abundant number, since it is smaller than the sum of its proper divisors (224160100).

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

160163840 is an equidigital number, since it uses as much as digits as its factorization.

160163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15668 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 160163840 is about 12655.5853282256. The cubic root of 160163840 is about 543.0687643471.

It can be divided in two parts, 160 and 163840, that multiplied together give a square (26214400 = 5120²).

The spelling of 160163840 in words is "one hundred sixty million, one hundred sixty-three thousand, eight hundred forty".