1336814080 has 120 divisors (see below), whose sum is σ = 3728871828. Its totient is φ = 458293248.

The previous prime is 1336814051. The next prime is 1336814081. The reversal of 1336814080 is 804186331.

It can be written as a sum of positive squares in 2 ways, for example, as 1182259456 + 154554624 = 34384^2 + 12432^2 .

It is not an unprimeable number, because it can be changed into a prime (1336814081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120112 + ... + 130768.

Almost surely, 2^1336814080 is an apocalyptic number.

1336814080 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 1336814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864435914).

1336814080 is an abundant number, since it is smaller than the sum of its proper divisors (2392057748).

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

1336814080 is an equidigital number, since it uses as much as digits as its factorization.

1336814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10671 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1336814080 is about 36562.4681880203. The cubic root of 1336814080 is about 1101.5993484265.

The spelling of 1336814080 in words is "one billion, three hundred thirty-six million, eight hundred fourteen thousand, eighty".