1320513600 has 168 divisors, whose sum is σ = 4951423168. Its totient is φ = 301824000.

The previous prime is 1320513599. The next prime is 1320513611. The reversal of 1320513600 is 63150231.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 13950 + ... + 53250.

Almost surely, 2^1320513600 is an apocalyptic number.

1320513600 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 1320513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475711584).

1320513600 is an abundant number, since it is smaller than the sum of its proper divisors (3630909568).

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

1320513600 is a wasteful number, since it uses less digits than its factorization.

1320513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39333 (or 39318 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1320513600 is about 36338.8717491339. The cubic root of 1320513600 is about 1097.1035645960.

Adding to 1320513600 its reverse (63150231), we get a palindrome (1383663831).

The spelling of 1320513600 in words is "one billion, three hundred twenty million, five hundred thirteen thousand, six hundred".