1339627968 has 168 divisors, whose sum is σ = 4442325888. Its totient is φ = 378044928.

The previous prime is 1339627921. The next prime is 1339627979. The reversal of 1339627968 is 8697269331.

1339627968 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 627 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

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, 332655 + ... + 336657.

It is an arithmetic number, because the mean of its divisors is an integer number (26442416).

Almost surely, 2^1339627968 is an apocalyptic number.

1339627968 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 1339627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221162944).

1339627968 is an abundant number, since it is smaller than the sum of its proper divisors (3102697920).

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

1339627968 is a wasteful number, since it uses less digits than its factorization.

1339627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4098 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 1339627968 is about 36600.9285128123. The cubic root of 1339627968 is about 1102.3717332691.

The spelling of 1339627968 in words is "one billion, three hundred thirty-nine million, six hundred twenty-seven thousand, nine hundred sixty-eight".