1326813600 has 144 divisors (see below), whose sum is σ = 4935809088. Its totient is φ = 303267840.

The previous prime is 1326813559. The next prime is 1326813601. The reversal of 1326813600 is 63186231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1326813601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22689 + ... + 56288.

It is an arithmetic number, because the mean of its divisors is an integer number (34276452).

Almost surely, 2^1326813600 is an apocalyptic number.

1326813600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1326813600 is an abundant number, since it is smaller than the sum of its proper divisors (3608995488).

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

1326813600 is a wasteful number, since it uses less digits than its factorization.

1326813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79007 (or 78994 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1326813600 is about 36425.4526396035. The cubic root of 1326813600 is about 1098.8455105088.

Adding to 1326813600 its reverse (63186231), we get a palindrome (1389999831).

The spelling of 1326813600 in words is "one billion, three hundred twenty-six million, eight hundred thirteen thousand, six hundred".