1306464640 has 192 divisors, whose sum is σ = 3467396160. Its totient is φ = 470286336.

The previous prime is 1306464629. The next prime is 1306464659. The reversal of 1306464640 is 464646031.

It is a junction number, because it is equal to n+sod(n) for n = 1306464596 and 1306464605.

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, 5083392 + ... + 5083648.

It is an arithmetic number, because the mean of its divisors is an integer number (18059355).

Almost surely, 2^1306464640 is an apocalyptic number.

1306464640 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 1306464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733698080).

1306464640 is an abundant number, since it is smaller than the sum of its proper divisors (2160931520).

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

1306464640 is a wasteful number, since it uses less digits than its factorization.

1306464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 1306464640 is about 36145.0500068820. The cubic root of 1306464640 is about 1093.1989854090.

The spelling of 1306464640 in words is "one billion, three hundred six million, four hundred sixty-four thousand, six hundred forty".