1320264432 has 120 divisors (see below), whose sum is σ = 3830112000. Its totient is φ = 424255104.

The previous prime is 1320264427. The next prime is 1320264433. The reversal of 1320264432 is 2344620231.

1320264432 is a `hidden beast` number, since 13 + 2 + 0 + 2 + 644 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1320264396 and 1320264405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320264433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487819 + ... + 490517.

It is an arithmetic number, because the mean of its divisors is an integer number (31917600).

Almost surely, 2^1320264432 is an apocalyptic number.

1320264432 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 1320264432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915056000).

1320264432 is an abundant number, since it is smaller than the sum of its proper divisors (2509847568).

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

1320264432 is a wasteful number, since it uses less digits than its factorization.

1320264432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1320264432 is about 36335.4431925634. The cubic root of 1320264432 is about 1097.0345560183.

Adding to 1320264432 its reverse (2344620231), we get a palindrome (3664884663).

The spelling of 1320264432 in words is "one billion, three hundred twenty million, two hundred sixty-four thousand, four hundred thirty-two".