1314221760 has 168 divisors, whose sum is σ = 4688073936. Its totient is φ = 350438400.

The previous prime is 1314221743. The next prime is 1314221809. The reversal of 1314221760 is 671224131.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69310 + ... + 86210.

It is an arithmetic number, because the mean of its divisors is an integer number (27905202).

Almost surely, 2^1314221760 is an apocalyptic number.

1314221760 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 1314221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344036968).

1314221760 is an abundant number, since it is smaller than the sum of its proper divisors (3373852176).

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

1314221760 is an equidigital number, since it uses as much as digits as its factorization.

1314221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16933 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1314221760 is about 36252.1966231013. The cubic root of 1314221760 is about 1095.3583364660.

Adding to 1314221760 its reverse (671224131), we get a palindrome (1985445891).

The spelling of 1314221760 in words is "one billion, three hundred fourteen million, two hundred twenty-one thousand, seven hundred sixty".