1361512320 has 512 divisors, whose sum is σ = 5393433600. Its totient is φ = 285081600.

The previous prime is 1361512319. The next prime is 1361512333. The reversal of 1361512320 is 232151631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 13480270 + ... + 13480370.

It is an arithmetic number, because the mean of its divisors is an integer number (10534050).

Almost surely, 2^1361512320 is an apocalyptic number.

1361512320 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 1361512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696716800).

1361512320 is an abundant number, since it is smaller than the sum of its proper divisors (4031921280).

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

1361512320 is a wasteful number, since it uses less digits than its factorization.

1361512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1361512320 is about 36898.6763990255. The cubic root of 1361512320 is about 1108.3421725540.

Adding to 1361512320 its reverse (232151631), we get a palindrome (1593663951).

The spelling of 1361512320 in words is "one billion, three hundred sixty-one million, five hundred twelve thousand, three hundred twenty".