1331688960 has 480 divisors, whose sum is σ = 5515361280. Its totient is φ = 290340864.

The previous prime is 1331688923. The next prime is 1331688977. The reversal of 1331688960 is 698861331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3709261 + ... + 3709619.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^1331688960 is an apocalyptic number.

1331688960 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 1331688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757680640).

1331688960 is an abundant number, since it is smaller than the sum of its proper divisors (4183672320).

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

1331688960 is a wasteful number, since it uses less digits than its factorization.

1331688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1331688960 is about 36492.3137112461. The cubic root of 1331688960 is about 1100.1897634049.

The spelling of 1331688960 in words is "one billion, three hundred thirty-one million, six hundred eighty-eight thousand, nine hundred sixty".