1080576000 has 576 divisors, whose sum is σ = 4517735040. Its totient is φ = 243302400.

The previous prime is 1080575971. The next prime is 1080576011. The reversal of 1080576000 is 6750801.

1080576000 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 57 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 16127967 + ... + 16128033.

It is an arithmetic number, because the mean of its divisors is an integer number (7843290).

Almost surely, 2^1080576000 is an apocalyptic number.

1080576000 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 1080576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258867520).

1080576000 is an abundant number, since it is smaller than the sum of its proper divisors (3437159040).

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

1080576000 is an equidigital number, since it uses as much as digits as its factorization.

1080576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1080576000 is about 32872.1158430667. The cubic root of 1080576000 is about 1026.1679330237.

The spelling of 1080576000 in words is "one billion, eighty million, five hundred seventy-six thousand".