1560361440 has 192 divisors, whose sum is σ = 5535516672. Its totient is φ = 366028800.

The previous prime is 1560361427. The next prime is 1560361441. The reversal of 1560361440 is 441630651.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1560361398 and 1560361407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1560361441) 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 31 ways as a sum of consecutive naturals, for example, 158914 + ... + 168446.

It is an arithmetic number, because the mean of its divisors is an integer number (28830816).

Almost surely, 2^1560361440 is an apocalyptic number.

1560361440 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 1560361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767758336).

1560361440 is an abundant number, since it is smaller than the sum of its proper divisors (3975155232).

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

1560361440 is a wasteful number, since it uses less digits than its factorization.

1560361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9593 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1560361440 is about 39501.4106077239. The cubic root of 1560361440 is about 1159.8675631601.

The spelling of 1560361440 in words is "one billion, five hundred sixty million, three hundred sixty-one thousand, four hundred forty".