1307826240 has 224 divisors, whose sum is σ = 4995793920. Its totient is φ = 283170816.

The previous prime is 1307826239. The next prime is 1307826257. The reversal of 1307826240 is 426287031.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122559 + ... + 132801.

Almost surely, 2^1307826240 is an apocalyptic number.

1307826240 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 1307826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497896960).

1307826240 is an abundant number, since it is smaller than the sum of its proper divisors (3687967680).

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

1307826240 is a wasteful number, since it uses less digits than its factorization.

1307826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1307826240 is about 36163.8803227751. The cubic root of 1307826240 is about 1093.5786315895.

The spelling of 1307826240 in words is "one billion, three hundred seven million, eight hundred twenty-six thousand, two hundred forty".