1360398000 has 320 divisors, whose sum is σ = 4796692992. Its totient is φ = 329702400.

The previous prime is 1360397993. The next prime is 1360398001. The reversal of 1360398000 is 8930631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1360398001) 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 63 ways as a sum of consecutive naturals, for example, 8345919 + ... + 8346081.

Almost surely, 2^1360398000 is an apocalyptic number.

1360398000 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 1360398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398346496).

1360398000 is an abundant number, since it is smaller than the sum of its proper divisors (3436294992).

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

1360398000 is a wasteful number, since it uses less digits than its factorization.

1360398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1360398000 is about 36883.5735795760. The cubic root of 1360398000 is about 1108.0397184561.

The spelling of 1360398000 in words is "one billion, three hundred sixty million, three hundred ninety-eight thousand".