1306080 has 72 divisors (see below), whose sum is σ = 4461912. Its totient is φ = 347904.

The previous prime is 1306069. The next prime is 1306087. The reversal of 1306080 is 806031.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306087) 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, 987 + ... + 1893.

It is an arithmetic number, because the mean of its divisors is an integer number (61971).

2^1306080 is an apocalyptic number.

1306080 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 1306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230956).

1306080 is an abundant number, since it is smaller than the sum of its proper divisors (3155832).

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

1306080 is a wasteful number, since it uses less digits than its factorization.

1306080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1306080 is about 1142.8385712777. The cubic root of 1306080 is about 109.3091690930.

The spelling of 1306080 in words is "one million, three hundred six thousand, eighty".