1339964208 has 480 divisors, whose sum is σ = 4777194240. Its totient is φ = 358318080.

The previous prime is 1339964203. The next prime is 1339964233. The reversal of 1339964208 is 8024699331.

It is a happy number.

1339964208 is a `hidden beast` number, since 133 + 9 + 96 + 420 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1339964203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13814016 + ... + 13814112.

It is an arithmetic number, because the mean of its divisors is an integer number (9952488).

Almost surely, 2^1339964208 is an apocalyptic number.

1339964208 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 1339964208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388597120).

1339964208 is an abundant number, since it is smaller than the sum of its proper divisors (3437230032).

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

1339964208 is a wasteful number, since it uses less digits than its factorization.

1339964208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1339964208 is about 36605.5215507169. The cubic root of 1339964208 is about 1102.4639555063.

The spelling of 1339964208 in words is "one billion, three hundred thirty-nine million, nine hundred sixty-four thousand, two hundred eight".