1360488960 has 260 divisors, whose sum is σ = 4892974218. Its totient is φ = 362797056.

The previous prime is 1360488929. The next prime is 1360488967. The reversal of 1360488960 is 698840631.

It can be written as a sum of positive squares in only one way, i.e., 1224440064 + 136048896 = 34992^2 + 11664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1360488967) 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 25 ways as a sum of consecutive naturals, for example, 272097790 + ... + 272097794.

Almost surely, 2^1360488960 is an apocalyptic number.

1360488960 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 1360488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446487109).

1360488960 is an abundant number, since it is smaller than the sum of its proper divisors (3532485258).

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

1360488960 is an frugal number, since it uses more digits than its factorization.

1360488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1360488960 is about 36884.8066282040. The cubic root of 1360488960 is about 1108.0644134465.

The spelling of 1360488960 in words is "one billion, three hundred sixty million, four hundred eighty-eight thousand, nine hundred sixty".