1605760 has 64 divisors (see below), whose sum is σ = 4155480. Its totient is φ = 589824.

The previous prime is 1605757. The next prime is 1605761. The reversal of 1605760 is 675061.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 817216 = 888^2 + 904^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1605761) 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, 8224 + ... + 8416.

2^1605760 is an apocalyptic number.

1605760 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 1605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077740).

1605760 is an abundant number, since it is smaller than the sum of its proper divisors (2549720).

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

1605760 is a wasteful number, since it uses less digits than its factorization.

1605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 1605760 is about 1267.1858585070. The cubic root of 1605760 is about 117.1008942926.

It can be divided in two parts, 160 and 5760, that multiplied together give a square (921600 = 960²).

The spelling of 1605760 in words is "one million, six hundred five thousand, seven hundred sixty".