1560640640 has 192 divisors, whose sum is σ = 4139372160. Its totient is φ = 562139136.

The previous prime is 1560640637. The next prime is 1560640661. The reversal of 1560640640 is 460460651.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1560640597 and 1560640606.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5083367 + ... + 5083673.

It is an arithmetic number, because the mean of its divisors is an integer number (21559230).

Almost surely, 2^1560640640 is an apocalyptic number.

1560640640 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 1560640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069686080).

1560640640 is an abundant number, since it is smaller than the sum of its proper divisors (2578731520).

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

1560640640 is a wasteful number, since it uses less digits than its factorization.

1560640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1560640640 is about 39504.9445006571. The cubic root of 1560640640 is about 1159.9367385239.

The spelling of 1560640640 in words is "one billion, five hundred sixty million, six hundred forty thousand, six hundred forty".