1306240 has 64 divisors (see below), whose sum is σ = 3384360. Its totient is φ = 479232.

The previous prime is 1306237. The next prime is 1306241. The reversal of 1306240 is 426031.

It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 627264 = 824^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8242 + ... + 8398.

2^1306240 is an apocalyptic number.

1306240 is a gapful number since it is divisible by the number (10) 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 1306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692180).

1306240 is an abundant number, since it is smaller than the sum of its proper divisors (2078120).

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

1306240 is a wasteful number, since it uses less digits than its factorization.

1306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1306240 is about 1142.9085702715. The cubic root of 1306240 is about 109.3136325135.

The spelling of 1306240 in words is "one million, three hundred six thousand, two hundred forty".