1313547840 has 560 divisors, whose sum is σ = 5417051904. Its totient is φ = 298598400.

The previous prime is 1313547839. The next prime is 1313547847. The reversal of 1313547840 is 487453131.

It is a happy number.

1313547840 is a `hidden beast` number, since 1 + 31 + 3 + 547 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313547795 and 1313547804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313547847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4846905 + ... + 4847175.

Almost surely, 2^1313547840 is an apocalyptic number.

1313547840 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 1313547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708525952).

1313547840 is an abundant number, since it is smaller than the sum of its proper divisors (4103504064).

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

1313547840 is a wasteful number, since it uses less digits than its factorization.

1313547840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

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

The square root of 1313547840 is about 36242.9005461759. The cubic root of 1313547840 is about 1095.1710747911.

The spelling of 1313547840 in words is "one billion, three hundred thirteen million, five hundred forty-seven thousand, eight hundred forty".