1560746880 has 1280 divisors, whose sum is σ = 7677711360. Its totient is φ = 291962880.

The previous prime is 1560746879. The next prime is 1560746909. The reversal of 1560746880 is 886470651.

It is a happy number.

1560746880 is a `hidden beast` number, since 1 + 560 + 7 + 4 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 67858549 + ... + 67858571.

It is an arithmetic number, because the mean of its divisors is an integer number (5998212).

Almost surely, 2^1560746880 is an apocalyptic number.

1560746880 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 1560746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838855680).

1560746880 is an abundant number, since it is smaller than the sum of its proper divisors (6116964480).

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

1560746880 is a wasteful number, since it uses less digits than its factorization.

1560746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1560746880 is about 39506.2891195820. The cubic root of 1560746880 is about 1159.9630586730.

The spelling of 1560746880 in words is "one billion, five hundred sixty million, seven hundred forty-six thousand, eight hundred eighty".