1321663200 has 288 divisors, whose sum is σ = 5055426432. Its totient is φ = 295680000.

The previous prime is 1321663193. The next prime is 1321663201. The reversal of 1321663200 is 23661231.

It is a happy number.

It is a super-2 number, since 2×1321663200² = 3493587228468480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321663201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341275 + ... + 345125.

It is an arithmetic number, because the mean of its divisors is an integer number (17553564).

Almost surely, 2^1321663200 is an apocalyptic number.

1321663200 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 1321663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527713216).

1321663200 is an abundant number, since it is smaller than the sum of its proper divisors (3733763232).

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

1321663200 is a wasteful number, since it uses less digits than its factorization.

1321663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1321663200 is about 36354.6860803391. The cubic root of 1321663200 is about 1097.4218408683.

The spelling of 1321663200 in words is "one billion, three hundred twenty-one million, six hundred sixty-three thousand, two hundred".