1306688 has 28 divisors (see below), whose sum is σ = 2747772. Its totient is φ = 614400.

The previous prime is 1306667. The next prime is 1306691. The reversal of 1306688 is 8866031.

It can be written as a sum of positive squares in 2 ways, for example, as 369664 + 937024 = 608^2 + 968^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 488 + ... + 1688.

2^1306688 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 1306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373886).

1306688 is an abundant number, since it is smaller than the sum of its proper divisors (1441084).

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

1306688 is a wasteful number, since it uses less digits than its factorization.

1306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1306688 is about 1143.1045446502. The cubic root of 1306688 is about 109.3261281523.

The spelling of 1306688 in words is "one million, three hundred six thousand, six hundred eighty-eight".