1318382640 has 240 divisors, whose sum is σ = 4935621600. Its totient is φ = 313417728.

The previous prime is 1318382633. The next prime is 1318382683. The reversal of 1318382640 is 462838131.

1318382640 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 3 + 8 + 2 + 640 = 666.

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 junction number, because it is equal to n+sod(n) for n = 1318382595 and 1318382604.

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, 229726 + ... + 235394.

It is an arithmetic number, because the mean of its divisors is an integer number (20565090).

Almost surely, 2^1318382640 is an apocalyptic number.

1318382640 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 1318382640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467810800).

1318382640 is an abundant number, since it is smaller than the sum of its proper divisors (3617238960).

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

1318382640 is a wasteful number, since it uses less digits than its factorization.

1318382640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1318382640 is about 36309.5392424635. The cubic root of 1318382640 is about 1096.5131017851.

The spelling of 1318382640 in words is "one billion, three hundred eighteen million, three hundred eighty-two thousand, six hundred forty".