1320304752 has 160 divisors (see below), whose sum is σ = 4102862400. Its totient is φ = 404103168.

The previous prime is 1320304729. The next prime is 1320304753. The reversal of 1320304752 is 2574030231.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320304753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308024 + ... + 1309032.

It is an arithmetic number, because the mean of its divisors is an integer number (25642890).

Almost surely, 2^1320304752 is an apocalyptic number.

1320304752 is a gapful number since it is divisible by the number (12) 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 1320304752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051431200).

1320304752 is an abundant number, since it is smaller than the sum of its proper divisors (2782557648).

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

1320304752 is a wasteful number, since it uses less digits than its factorization.

1320304752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1320304752 is about 36335.9980184940. The cubic root of 1320304752 is about 1097.0457234738.

Adding to 1320304752 its reverse (2574030231), we get a palindrome (3894334983).

The spelling of 1320304752 in words is "one billion, three hundred twenty million, three hundred four thousand, seven hundred fifty-two".