3563560 has 128 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1013760.

The previous prime is 3563531. The next prime is 3563563. The reversal of 3563560 is 653653.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3563563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39996 + ... + 40084.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

Almost surely, 2^3563560 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 3563560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3563560 is an abundant number, since it is smaller than the sum of its proper divisors (7322840).

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

3563560 is a wasteful number, since it uses less digits than its factorization.

3563560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 3563560 is about 1887.7393887928. The cubic root of 3563560 is about 152.7430148516.

It can be divided in two parts, 356 and 3560, that added together give a triangular number (3916 = T₈₈).

The spelling of 3563560 in words is "three million, five hundred sixty-three thousand, five hundred sixty".