1314628560 has 240 divisors, whose sum is σ = 5132350080. Its totient is φ = 295326720.

The previous prime is 1314628559. The next prime is 1314628577. The reversal of 1314628560 is 658264131.

It is a happy number.

1314628560 is a `hidden beast` number, since 1 + 31 + 4 + 62 + 8 + 560 = 666.

1314628560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295150 + ... + 299570.

It is an arithmetic number, because the mean of its divisors is an integer number (21384792).

Almost surely, 2^1314628560 is an apocalyptic number.

1314628560 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 1314628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566175040).

1314628560 is an abundant number, since it is smaller than the sum of its proper divisors (3817721520).

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

1314628560 is a wasteful number, since it uses less digits than its factorization.

1314628560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1314628560 is about 36257.8068834837. The cubic root of 1314628560 is about 1095.4713427123.

The spelling of 1314628560 in words is "one billion, three hundred fourteen million, six hundred twenty-eight thousand, five hundred sixty".