1360980000 has 180 divisors, whose sum is σ = 4836950118. Its totient is φ = 362880000.

The previous prime is 1360979969. The next prime is 1360980007. The reversal of 1360980000 is 890631.

It can be written as a sum of positive squares in 5 ways, for example, as 1140624 + 1359839376 = 1068^2 + 36876^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (1360980007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 176220 + ... + 183780.

Almost surely, 2^1360980000 is an apocalyptic number.

1360980000 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 1360980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418475059).

1360980000 is an abundant number, since it is smaller than the sum of its proper divisors (3475970118).

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

1360980000 is an equidigital number, since it uses as much as digits as its factorization.

1360980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1360980000 is about 36891.4624269627. The cubic root of 1360980000 is about 1108.1977082931.

The spelling of 1360980000 in words is "one billion, three hundred sixty million, nine hundred eighty thousand".