1326245760 has 576 divisors, whose sum is σ = 5514462720. Its totient is φ = 292626432.

The previous prime is 1326245749. The next prime is 1326245761. The reversal of 1326245760 is 675426231.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326245761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10442817 + ... + 10442943.

It is an arithmetic number, because the mean of its divisors is an integer number (9573720).

Almost surely, 2^1326245760 is an apocalyptic number.

1326245760 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 1326245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757231360).

1326245760 is an abundant number, since it is smaller than the sum of its proper divisors (4188216960).

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

1326245760 is a wasteful number, since it uses less digits than its factorization.

1326245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1326245760 is about 36417.6572557873. The cubic root of 1326245760 is about 1098.6887295137.

It can be divided in two parts, 132624 and 5760, that added together give a square (138384 = 372²).

The spelling of 1326245760 in words is "one billion, three hundred twenty-six million, two hundred forty-five thousand, seven hundred sixty".