1323885600 has 144 divisors (see below), whose sum is σ = 4788131040. Its totient is φ = 353030400.

The previous prime is 1323885599. The next prime is 1323885671. The reversal of 1323885600 is 65883231.

1323885600 is a `hidden beast` number, since 13 + 2 + 3 + 88 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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, 9046 + ... + 52245.

It is an arithmetic number, because the mean of its divisors is an integer number (33250910).

Almost surely, 2^1323885600 is an apocalyptic number.

1323885600 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 1323885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394065520).

1323885600 is an abundant number, since it is smaller than the sum of its proper divisors (3464245440).

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

1323885600 is a wasteful number, since it uses less digits than its factorization.

1323885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61320 (or 61301 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1323885600 is about 36385.2387651916. The cubic root of 1323885600 is about 1098.0366078153.

The spelling of 1323885600 in words is "one billion, three hundred twenty-three million, eight hundred eighty-five thousand, six hundred".