1368705312 has 216 divisors, whose sum is σ = 4293076788. Its totient is φ = 413337600.

The previous prime is 1368705311. The next prime is 1368705313. The reversal of 1368705312 is 2135078631.

It is an interprime number because it is at equal distance from previous prime (1368705311) and next prime (1368705313).

It can be written as a sum of positive squares in 6 ways, for example, as 1296 + 1368704016 = 36^2 + 36996^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1368705311) 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 35 ways as a sum of consecutive naturals, for example, 2968762 + ... + 2969222.

Almost surely, 2^1368705312 is an apocalyptic number.

1368705312 is a gapful number since it is divisible by the number (12) 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 1368705312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146538394).

1368705312 is an abundant number, since it is smaller than the sum of its proper divisors (2924371476).

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

1368705312 is a wasteful number, since it uses less digits than its factorization.

1368705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1368705312 is about 36996.0175154029. The cubic root of 1368705312 is about 1110.2905691697.

The spelling of 1368705312 in words is "one billion, three hundred sixty-eight million, seven hundred five thousand, three hundred twelve".