1323648000 has 352 divisors, whose sum is σ = 4904939520. Its totient is φ = 352051200.

The previous prime is 1323647989. The next prime is 1323648041. The reversal of 1323648000 is 8463231.

It is a happy number.

1323648000 is a `hidden beast` number, since 13 + 2 + 3 + 648 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455809 + ... + 3456191.

Almost surely, 2^1323648000 is an apocalyptic number.

1323648000 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 1323648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452469760).

1323648000 is an abundant number, since it is smaller than the sum of its proper divisors (3581291520).

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

1323648000 is an equidigital number, since it uses as much as digits as its factorization.

1323648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1323648000 is about 36381.9735583434. The cubic root of 1323648000 is about 1097.9709150527.

The spelling of 1323648000 in words is "one billion, three hundred twenty-three million, six hundred forty-eight thousand".