1336603968 has 504 divisors, whose sum is σ = 4878506880. Its totient is φ = 347719680.

The previous prime is 1336603949. The next prime is 1336603987. The reversal of 1336603968 is 8693066331.

1336603968 is a `hidden beast` number, since 1 + 3 + 36 + 603 + 9 + 6 + 8 = 666.

1336603968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1336603949) and next prime (1336603987).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18825373 + ... + 18825443.

Almost surely, 2^1336603968 is an apocalyptic number.

1336603968 is a gapful number since it is divisible by the number (18) 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 1336603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439253440).

1336603968 is an abundant number, since it is smaller than the sum of its proper divisors (3541902912).

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

1336603968 is a wasteful number, since it uses less digits than its factorization.

1336603968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 1336603968 is about 36559.5947461128. The cubic root of 1336603968 is about 1101.5416312582.

The spelling of 1336603968 in words is "one billion, three hundred thirty-six million, six hundred three thousand, nine hundred sixty-eight".