1307648 has 22 divisors (see below), whose sum is σ = 2616066. Its totient is φ = 653312.

The previous prime is 1307641. The next prime is 1307651. The reversal of 1307648 is 8467031.

It can be written as a sum of positive squares in only one way, i.e., 1183744 + 123904 = 1088^2 + 352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1307648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386 + ... + 1662.

2^1307648 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 1307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308033).

1307648 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1307648 is an equidigital number, since it uses as much as digits as its factorization.

1307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1307648 is about 1143.5243766532. The cubic root of 1307648 is about 109.3528949069.

The spelling of 1307648 in words is "one million, three hundred seven thousand, six hundred forty-eight".