1306359648 has 144 divisors (see below), whose sum is σ = 4065961536. Its totient is φ = 394571520.

The previous prime is 1306359643. The next prime is 1306359653. The reversal of 1306359648 is 8469536031.

1306359648 is a `hidden beast` number, since 1 + 3 + 0 + 635 + 9 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1306359643) and next prime (1306359653).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306359643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1479015 + ... + 1479897.

It is an arithmetic number, because the mean of its divisors is an integer number (28235844).

Almost surely, 2^1306359648 is an apocalyptic number.

1306359648 is a gapful number since it is divisible by the number (18) 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 1306359648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032980768).

1306359648 is an abundant number, since it is smaller than the sum of its proper divisors (2759601888).

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

1306359648 is a wasteful number, since it uses less digits than its factorization.

1306359648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1306359648 is about 36143.5976073218. The cubic root of 1306359648 is about 1093.1697002121.

The spelling of 1306359648 in words is "one billion, three hundred six million, three hundred fifty-nine thousand, six hundred forty-eight".