3602560 has 64 divisors (see below), whose sum is σ = 9296280. Its totient is φ = 1327104.

The previous prime is 3602549. The next prime is 3602561. The reversal of 3602560 is 652063.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 2143296 = 1208^2 + 1464^2 .

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 (3602561) 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, 8104 + ... + 8536.

Almost surely, 2^3602560 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 3602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648140).

3602560 is an abundant number, since it is smaller than the sum of its proper divisors (5693720).

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

3602560 is a wasteful number, since it uses less digits than its factorization.

3602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 3602560 is about 1898.0410954455. The cubic root of 3602560 is about 153.2982066143.

It can be divided in two parts, 360 and 2560, that multiplied together give a square (921600 = 960²).

The spelling of 3602560 in words is "three million, six hundred two thousand, five hundred sixty".