2609568 has 144 divisors (see below), whose sum is σ = 8668296. Its totient is φ = 737280.

The previous prime is 2609539. The next prime is 2609587. The reversal of 2609568 is 8659062.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 1140624 = 1212^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63628 + ... + 63668.

2^2609568 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 2609568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334148).

2609568 is an abundant number, since it is smaller than the sum of its proper divisors (6058728).

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

2609568 is a wasteful number, since it uses less digits than its factorization.

2609568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2609568 is about 1615.4157359640. The cubic root of 2609568 is about 137.6753553356.

The spelling of 2609568 in words is "two million, six hundred nine thousand, five hundred sixty-eight".