1331186560 has 128 divisors (see below), whose sum is σ = 3494936160. Its totient is φ = 480829440.

The previous prime is 1331186539. The next prime is 1331186573. The reversal of 1331186560 is 656811331.

1331186560 = T₉₆ + T₉₇ + ... + T₁₉₉₈.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1217374 + ... + 1218466.

Almost surely, 2^1331186560 is an apocalyptic number.

1331186560 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 1331186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747468080).

1331186560 is an abundant number, since it is smaller than the sum of its proper divisors (2163749600).

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

1331186560 is a wasteful number, since it uses less digits than its factorization.

1331186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1331186560 is about 36485.4294205235. The cubic root of 1331186560 is about 1100.0513915384.

Adding to 1331186560 its reverse (656811331), we get a palindrome (1987997891).

The spelling of 1331186560 in words is "one billion, three hundred thirty-one million, one hundred eighty-six thousand, five hundred sixty".