1307927040 has 160 divisors (see below), whose sum is σ = 4778801280. Its totient is φ = 298942464.

The previous prime is 1307927021. The next prime is 1307927053. The reversal of 1307927040 is 407297031.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1307926992 and 1307927010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41596 + ... + 65924.

It is an arithmetic number, because the mean of its divisors is an integer number (29867508).

Almost surely, 2^1307927040 is an apocalyptic number.

1307927040 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 1307927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389400640).

1307927040 is an abundant number, since it is smaller than the sum of its proper divisors (3470874240).

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

1307927040 is an equidigital number, since it uses as much as digits as its factorization.

1307927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24362 (or 24346 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1307927040 is about 36165.2739516791. The cubic root of 1307927040 is about 1093.6067265283.

The spelling of 1307927040 in words is "one billion, three hundred seven million, nine hundred twenty-seven thousand, forty".