1326144960 has 280 divisors, whose sum is σ = 5391972960. Its totient is φ = 303077376.

The previous prime is 1326144943. The next prime is 1326144991. The reversal of 1326144960 is 694416231.

1326144960 is a `hidden beast` number, since 1 + 32 + 614 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177786 + ... + 185094.

Almost surely, 2^1326144960 is an apocalyptic number.

1326144960 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 1326144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695986480).

1326144960 is an abundant number, since it is smaller than the sum of its proper divisors (4065828000).

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

1326144960 is an equidigital number, since it uses as much as digits as its factorization.

1326144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1326144960 is about 36416.2732854420. The cubic root of 1326144960 is about 1098.6608938910.

It can be divided in two parts, 1326144 and 960, that added together give a square (1327104 = 1152²).

The spelling of 1326144960 in words is "one billion, three hundred twenty-six million, one hundred forty-four thousand, nine hundred sixty".