1359006768 has 480 divisors, whose sum is σ = 4975872000. Its totient is φ = 352719360.

The previous prime is 1359006721. The next prime is 1359006769. The reversal of 1359006768 is 8676009531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359006769) 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, 12467898 + ... + 12468006.

It is an arithmetic number, because the mean of its divisors is an integer number (10366400).

Almost surely, 2^1359006768 is an apocalyptic number.

1359006768 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 1359006768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487936000).

1359006768 is an abundant number, since it is smaller than the sum of its proper divisors (3616865232).

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

1359006768 is a wasteful number, since it uses less digits than its factorization.

1359006768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1359006768 is about 36864.7089775574. The cubic root of 1359006768 is about 1107.6618716530.

The spelling of 1359006768 in words is "one billion, three hundred fifty-nine million, six thousand, seven hundred sixty-eight".