1306414680 has 32 divisors (see below), whose sum is σ = 3919244400. Its totient is φ = 348377216.

The previous prime is 1306414663. The next prime is 1306414717. The reversal of 1306414680 is 864146031.

It is a super-2 number, since 2×1306414680² = 3413438632239004800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5443275 + ... + 5443514.

Almost surely, 2^1306414680 is an apocalyptic number.

1306414680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306414680 is an abundant number, since it is smaller than the sum of its proper divisors (2612829720).

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

1306414680 is a wasteful number, since it uses less digits than its factorization.

1306414680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886803 (or 10886799 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1306414680 is about 36144.3588959605. The cubic root of 1306414680 is about 1093.1850503673.

The spelling of 1306414680 in words is "one billion, three hundred six million, four hundred fourteen thousand, six hundred eighty".