1609160 has 48 divisors (see below), whose sum is σ = 4216860. Its totient is φ = 551040.

The previous prime is 1609147. The next prime is 1609163. The reversal of 1609160 is 619061.

It can be written as a sum of positive squares in 2 ways, for example, as 1552516 + 56644 = 1246^2 + 238^2 .

It is not an unprimeable number, because it can be changed into a prime (1609163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1550 + ... + 2370.

2^1609160 is an apocalyptic number.

1609160 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 1609160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108430).

1609160 is an abundant number, since it is smaller than the sum of its proper divisors (2607700).

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

1609160 is a wasteful number, since it uses less digits than its factorization.

1609160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1609160 is about 1268.5267044883. The cubic root of 1609160 is about 117.1834849587.

Subtracting from 1609160 its reverse (619061), we obtain a palindrome (990099).

The spelling of 1609160 in words is "one million, six hundred nine thousand, one hundred sixty".