1368876960 has 288 divisors, whose sum is σ = 5158520640. Its totient is φ = 327782400.

The previous prime is 1368876959. The next prime is 1368876961. The reversal of 1368876960 is 696788631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1368876959) and next prime (1368876961).

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

It is a junction number, because it is equal to n+sod(n) for n = 1368876897 and 1368876906.

It is not an unprimeable number, because it can be changed into a prime (1368876961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1409275 + ... + 1410245.

It is an arithmetic number, because the mean of its divisors is an integer number (17911530).

Almost surely, 2^1368876960 is an apocalyptic number.

1368876960 is a gapful number since it is divisible by the number (10) 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 1368876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579260320).

1368876960 is an abundant number, since it is smaller than the sum of its proper divisors (3789643680).

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

1368876960 is a wasteful number, since it uses less digits than its factorization.

1368876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1368876960 is about 36998.3372599364. The cubic root of 1368876960 is about 1110.3369807159.

The spelling of 1368876960 in words is "one billion, three hundred sixty-eight million, eight hundred seventy-six thousand, nine hundred sixty".