1309680 has 120 divisors (see below), whose sum is σ = 4700592. Its totient is φ = 325632.

The previous prime is 1309673. The next prime is 1309691. The reversal of 1309680 is 869031.

1309680 = T₃₈₄ + T₃₈₅ + ... + T₄₀₀.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12187 + ... + 12293.

2^1309680 is an apocalyptic number.

1309680 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 1309680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350296).

1309680 is an abundant number, since it is smaller than the sum of its proper divisors (3390912).

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

1309680 is a wasteful number, since it uses less digits than its factorization.

1309680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1309680 is about 1144.4125130389. The cubic root of 1309680 is about 109.4095080231.

The spelling of 1309680 in words is "one million, three hundred nine thousand, six hundred eighty".