1080358560 has 288 divisors, whose sum is σ = 3931828992. Its totient is φ = 279936000.

The previous prime is 1080358541. The next prime is 1080358577. The reversal of 1080358560 is 658530801.

1080358560 is a `hidden beast` number, since 10 + 8 + 0 + 3 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438185 + ... + 1438935.

It is an arithmetic number, because the mean of its divisors is an integer number (13652184).

Almost surely, 2^1080358560 is an apocalyptic number.

1080358560 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 1080358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965914496).

1080358560 is an abundant number, since it is smaller than the sum of its proper divisors (2851470432).

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

1080358560 is an equidigital number, since it uses as much as digits as its factorization.

1080358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1080358560 is about 32868.8083142666. The cubic root of 1080358560 is about 1026.0990978458.

The spelling of 1080358560 in words is "one billion, eighty million, three hundred fifty-eight thousand, five hundred sixty".