1320513720 has 256 divisors, whose sum is σ = 4331197440. Its totient is φ = 321159168.

The previous prime is 1320513673. The next prime is 1320513721. The reversal of 1320513720 is 273150231.

1320513720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (1320513721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6841944 + ... + 6842136.

It is an arithmetic number, because the mean of its divisors is an integer number (16918740).

Almost surely, 2^1320513720 is an apocalyptic number.

1320513720 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 1320513720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165598720).

1320513720 is an abundant number, since it is smaller than the sum of its proper divisors (3010683720).

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

1320513720 is a wasteful number, since it uses less digits than its factorization.

1320513720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1320513720 is about 36338.8734002583. The cubic root of 1320513720 is about 1097.1035978287.

Adding to 1320513720 its reverse (273150231), we get a palindrome (1593663951).

The spelling of 1320513720 in words is "one billion, three hundred twenty million, five hundred thirteen thousand, seven hundred twenty".