1560928320 has 420 divisors, whose sum is σ = 6464282220. Its totient is φ = 356493312.

The previous prime is 1560928297. The next prime is 1560928331. The reversal of 1560928320 is 238290651.

1560928320 is a `hidden beast` number, since 1 + 5 + 609 + 28 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1174569984 + 386358336 = 34272^2 + 19656^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269466 + ... + 1270694.

Almost surely, 2^1560928320 is an apocalyptic number.

1560928320 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 1560928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232141110).

1560928320 is an abundant number, since it is smaller than the sum of its proper divisors (4903353900).

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

1560928320 is a wasteful number, since it uses less digits than its factorization.

1560928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1560928320 is about 39508.5853960883. The cubic root of 1560928320 is about 1160.0080062864.

The spelling of 1560928320 in words is "one billion, five hundred sixty million, nine hundred twenty-eight thousand, three hundred twenty".