2568632 has 48 divisors (see below), whose sum is σ = 5636520. Its totient is φ = 1088000.

The previous prime is 2568623. The next prime is 2568641. The reversal of 2568632 is 2368652.

Added to its reverse (2368652) it gives a square (4937284 = 2222²).

2568632 is nontrivially palindromic in base 7.

2568632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2568623) and next prime (2568641).

It is a d-powerful number, because it can be written as 2 + 5³ + 6⁴ + 8⁷ + 6⁷ + 3¹⁰ + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25382 + ... + 25482.

2^2568632 is an apocalyptic number.

2568632 is a gapful number since it is divisible by the number (22) 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 2568632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818260).

2568632 is an abundant number, since it is smaller than the sum of its proper divisors (3067888).

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

2568632 is a wasteful number, since it uses less digits than its factorization.

2568632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 2568632 is about 1602.6952299174. The cubic root of 2568632 is about 136.9516585797.

Adding to 2568632 its reverse (2368652), we get a square (4937284 = 2222²).

It can be divided in two parts, 256 and 8632, that added together give a palindrome (8888).

The spelling of 2568632 in words is "two million, five hundred sixty-eight thousand, six hundred thirty-two".