1306329372 has 72 divisors (see below), whose sum is σ = 3446679600. Its totient is φ = 416782080.

The previous prime is 1306329341. The next prime is 1306329373. The reversal of 1306329372 is 2739236031.

1306329372 is a `hidden beast` number, since 13 + 0 + 632 + 9 + 3 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306329373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69879 + ... + 86577.

It is an arithmetic number, because the mean of its divisors is an integer number (47870550).

Almost surely, 2^1306329372 is an apocalyptic number.

1306329372 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 1306329372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723339800).

1306329372 is an abundant number, since it is smaller than the sum of its proper divisors (2140350228).

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

1306329372 is a wasteful number, since it uses less digits than its factorization.

1306329372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16803 (or 16798 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1306329372 is about 36143.1787755311. The cubic root of 1306329372 is about 1093.1612550998.

The spelling of 1306329372 in words is "one billion, three hundred six million, three hundred twenty-nine thousand, three hundred seventy-two".