1307003920 has 80 divisors (see below), whose sum is σ = 3273272640. Its totient is φ = 483743232.

The previous prime is 1307003909. The next prime is 1307003959. The reversal of 1307003920 is 293007031.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55362 + ... + 75358.

It is an arithmetic number, because the mean of its divisors is an integer number (40915908).

Almost surely, 2^1307003920 is an apocalyptic number.

1307003920 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 1307003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636636320).

1307003920 is an abundant number, since it is smaller than the sum of its proper divisors (1966268720).

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

1307003920 is a wasteful number, since it uses less digits than its factorization.

1307003920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20072 (or 20066 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 1307003920 is about 36152.5091798619. The cubic root of 1307003920 is about 1093.3493809199.

The spelling of 1307003920 in words is "one billion, three hundred seven million, three thousand, nine hundred twenty".