1382305968 has 60 divisors (see below), whose sum is σ = 3874812760. Its totient is φ = 460021248.

The previous prime is 1382305961. The next prime is 1382305979. The reversal of 1382305968 is 8695032831.

It is a happy number.

1382305968 is a `hidden beast` number, since 1 + 38 + 23 + 0 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1382305961) 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 11 ways as a sum of consecutive naturals, for example, 85128 + ... + 100056.

Almost surely, 2^1382305968 is an apocalyptic number.

1382305968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1382305968 is an abundant number, since it is smaller than the sum of its proper divisors (2492506792).

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

1382305968 is a wasteful number, since it uses less digits than its factorization.

1382305968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15586 (or 15577 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1382305968 is about 37179.3755730244. The cubic root of 1382305968 is about 1113.9560615151.

The spelling of 1382305968 in words is "one billion, three hundred eighty-two million, three hundred five thousand, nine hundred sixty-eight".