1327153600 has 84 divisors (see below), whose sum is σ = 3345442128. Its totient is φ = 517888000.

The previous prime is 1327153573. The next prime is 1327153601. The reversal of 1327153600 is 63517231.

It is a super-2 number, since 2×1327153600² = 3522673355985920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327153601) 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 11 ways as a sum of consecutive naturals, for example, 55485 + ... + 75715.

It is an arithmetic number, because the mean of its divisors is an integer number (39826692).

Almost surely, 2^1327153600 is an apocalyptic number.

1327153600 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 1327153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672721064).

1327153600 is an abundant number, since it is smaller than the sum of its proper divisors (2018288528).

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

1327153600 is a wasteful number, since it uses less digits than its factorization.

1327153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20294 (or 20279 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 1327153600 is about 36430.1194068864. The cubic root of 1327153600 is about 1098.9393633217.

The spelling of 1327153600 in words is "one billion, three hundred twenty-seven million, one hundred fifty-three thousand, six hundred".