1314967680 has 384 divisors, whose sum is σ = 5182697520. Its totient is φ = 304349184.

The previous prime is 1314967673. The next prime is 1314967681. The reversal of 1314967680 is 867694131.

It is a happy number.

1314967680 is a `hidden beast` number, since 13 + 1 + 496 + 76 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 889948224 + 425019456 = 29832^2 + 20616^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314967681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272444 + ... + 1273476.

Almost surely, 2^1314967680 is an apocalyptic number.

1314967680 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 1314967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591348760).

1314967680 is an abundant number, since it is smaller than the sum of its proper divisors (3867729840).

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

1314967680 is a wasteful number, since it uses less digits than its factorization.

1314967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1314967680 is about 36262.4830920333. The cubic root of 1314967680 is about 1095.5655301033.

The spelling of 1314967680 in words is "one billion, three hundred fourteen million, nine hundred sixty-seven thousand, six hundred eighty".