1306771872 has 96 divisors (see below), whose sum is σ = 3935433600. Its totient is φ = 371923968.

The previous prime is 1306771859. The next prime is 1306771877. The reversal of 1306771872 is 2781776031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1306771877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177154 + ... + 184382.

It is an arithmetic number, because the mean of its divisors is an integer number (40994100).

Almost surely, 2^1306771872 is an apocalyptic number.

1306771872 is a gapful number since it is divisible by the number (12) 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 1306771872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967716800).

1306771872 is an abundant number, since it is smaller than the sum of its proper divisors (2628661728).

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

1306771872 is a wasteful number, since it uses less digits than its factorization.

1306771872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 1306771872 is about 36149.2997442551. The cubic root of 1306771872 is about 1093.2846719700.

The spelling of 1306771872 in words is "one billion, three hundred six million, seven hundred seventy-one thousand, eight hundred seventy-two".