1301905696 has 216 divisors, whose sum is σ = 3430338660. Its totient is φ = 484743168.

The previous prime is 1301905691. The next prime is 1301905721. The reversal of 1301905696 is 6965091031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 241491600 + 1060414096 = 15540^2 + 32564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301905691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76582680 + ... + 76582696.

Almost surely, 2^1301905696 is an apocalyptic number.

1301905696 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 1301905696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715169330).

1301905696 is an abundant number, since it is smaller than the sum of its proper divisors (2128432964).

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

1301905696 is an equidigital number, since it uses as much as digits as its factorization.

1301905696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 1301905696 is about 36081.9303253027. The cubic root of 1301905696 is about 1091.9259209007.

The spelling of 1301905696 in words is "one billion, three hundred one million, nine hundred five thousand, six hundred ninety-six".