900160 has 56 divisors (see below), whose sum is σ = 2240280. Its totient is φ = 344064.

The previous prime is 900157. The next prime is 900161. The reversal of 900160 is 61009.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 817216 = 288^2 + 904^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (900161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9232 + ... + 9328.

It is an arithmetic number, because the mean of its divisors is an integer number (40005).

2⁹⁰⁰¹⁶⁰ 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 900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120140).

900160 is an abundant number, since it is smaller than the sum of its proper divisors (1340120).

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

900160 is a wasteful number, since it uses less digits than its factorization.

900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 900160 is about 948.7676217072. The cubic root of 900160 is about 96.5546595401.

Adding to 900160 its reverse (61009), we get a palindrome (961169).

The spelling of 900160 in words is "nine hundred thousand, one hundred sixty".