1321545600 has 144 divisors (see below), whose sum is σ = 4715680320. Its totient is φ = 352404480.

The previous prime is 1321545583. The next prime is 1321545601. The reversal of 1321545600 is 65451231.

1321545600 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 54 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321545601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5857 + ... + 51743.

It is an arithmetic number, because the mean of its divisors is an integer number (32747780).

Almost surely, 2^1321545600 is an apocalyptic number.

1321545600 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 1321545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357840160).

1321545600 is an abundant number, since it is smaller than the sum of its proper divisors (3394134720).

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

1321545600 is a wasteful number, since it uses less digits than its factorization.

1321545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45917 (or 45897 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1321545600 is about 36353.0686462642. The cubic root of 1321545600 is about 1097.3892908116.

Adding to 1321545600 its reverse (65451231), we get a palindrome (1386996831).

The spelling of 1321545600 in words is "one billion, three hundred twenty-one million, five hundred forty-five thousand, six hundred".