1384568640 has 560 divisors, whose sum is σ = 6072054912. Its totient is φ = 291631104.

The previous prime is 1384568617. The next prime is 1384568641. The reversal of 1384568640 is 468654831.

1384568640 is a `hidden beast` number, since 1 + 3 + 84 + 568 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 (1384568641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358427 + ... + 2359013.

Almost surely, 2^1384568640 is an apocalyptic number.

1384568640 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 1384568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036027456).

1384568640 is an abundant number, since it is smaller than the sum of its proper divisors (4687486272).

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

1384568640 is a wasteful number, since it uses less digits than its factorization.

1384568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1384568640 is about 37209.7922595652. The cubic root of 1384568640 is about 1114.5635351218.

The spelling of 1384568640 in words is "one billion, three hundred eighty-four million, five hundred sixty-eight thousand, six hundred forty".