1360816128 has 288 divisors, whose sum is σ = 4599504000. Its totient is φ = 379551744.

The previous prime is 1360816099. The next prime is 1360816129. The reversal of 1360816128 is 8216180631.

1360816128 is a `hidden beast` number, since 1 + 36 + 0 + 8 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1360816092 and 1360816101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360816129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6838173 + ... + 6838371.

It is an arithmetic number, because the mean of its divisors is an integer number (15970500).

Almost surely, 2^1360816128 is an apocalyptic number.

1360816128 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 1360816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299752000).

1360816128 is an abundant number, since it is smaller than the sum of its proper divisors (3238687872).

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

1360816128 is a wasteful number, since it uses less digits than its factorization.

1360816128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1360816128 is about 36889.2413584232. The cubic root of 1360816128 is about 1108.1532281234.

Adding to 1360816128 its reverse (8216180631), we get a palindrome (9576996759).

The spelling of 1360816128 in words is "one billion, three hundred sixty million, eight hundred sixteen thousand, one hundred twenty-eight".