1347025680 has 960 divisors, whose sum is σ = 6412089600. Its totient is φ = 255467520.

The previous prime is 1347025679. The next prime is 1347025681. The reversal of 1347025680 is 865207431.

It is an interprime number because it is at equal distance from previous prime (1347025679) and next prime (1347025681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1347025681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 15135076 + ... + 15135164.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260).

Almost surely, 2^1347025680 is an apocalyptic number.

1347025680 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 1347025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206044800).

1347025680 is an abundant number, since it is smaller than the sum of its proper divisors (5065063920).

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

1347025680 is a wasteful number, since it uses less digits than its factorization.

1347025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1347025680 is about 36701.8484548122. The cubic root of 1347025680 is about 1104.3971869543.

The spelling of 1347025680 in words is "one billion, three hundred forty-seven million, twenty-five thousand, six hundred eighty".