2637648 has 60 divisors (see below), whose sum is σ = 7955220. Its totient is φ = 811008.

The previous prime is 2637647. The next prime is 2637659. The reversal of 2637648 is 8467362.

2637648 is a `hidden beast` number, since 2 + 6 + 3 + 7 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 2471184 = 408^2 + 1572^2 .

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

It is a d-powerful number, because it can be written as 2⁵ + 6³ + 3¹² + 7 + 6⁵ + 4⁵ + 8⁷ .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2637647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168 + ... + 2576.

It is an arithmetic number, because the mean of its divisors is an integer number (132587).

2^2637648 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 2637648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977610).

2637648 is an abundant number, since it is smaller than the sum of its proper divisors (5317572).

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

2637648 is a wasteful number, since it uses less digits than its factorization.

2637648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1427 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2637648 is about 1624.0837416833. The cubic root of 2637648 is about 138.1674086796.

It can be divided in two parts, 263764 and 8, that multiplied together give a palindrome (2110112).

The spelling of 2637648 in words is "two million, six hundred thirty-seven thousand, six hundred forty-eight".