160205440 has 64 divisors (see below), whose sum is σ = 385272360. Its totient is φ = 63700992.

The previous prime is 160205431. The next prime is 160205497. The reversal of 160205440 is 44502061.

It can be written as a sum of positive squares in 4 ways, for example, as 151585344 + 8620096 = 12312^2 + 2936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122872 + ... + 124168.

Almost surely, 2^160205440 is an apocalyptic number.

160205440 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 160205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192636180).

160205440 is an abundant number, since it is smaller than the sum of its proper divisors (225066920).

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

160205440 is a wasteful number, since it uses less digits than its factorization.

160205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 160205440 is about 12657.2287646230. The cubic root of 160205440 is about 543.1157780903.

The spelling of 160205440 in words is "one hundred sixty million, two hundred five thousand, four hundred forty".