1306901376 has 192 divisors, whose sum is σ = 4135847040. Its totient is φ = 392832000.

The previous prime is 1306901341. The next prime is 1306901413. The reversal of 1306901376 is 6731096031.

1306901376 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1306901376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1913131 + ... + 1913813.

It is an arithmetic number, because the mean of its divisors is an integer number (21540870).

Almost surely, 2^1306901376 is an apocalyptic number.

1306901376 is a gapful number since it is divisible by the number (16) 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 1306901376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067923520).

1306901376 is an abundant number, since it is smaller than the sum of its proper divisors (2828945664).

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

1306901376 is a wasteful number, since it uses less digits than its factorization.

1306901376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 1306901376 is about 36151.0909378956. The cubic root of 1306901376 is about 1093.3207864249.

The spelling of 1306901376 in words is "one billion, three hundred six million, nine hundred one thousand, three hundred seventy-six".