1080864000 has 432 divisors, whose sum is σ = 4062327360. Its totient is φ = 286156800.

The previous prime is 1080863989. The next prime is 1080864013. The reversal of 1080864000 is 4680801.

1080864000 is a `hidden beast` number, since 10 + 8 + 0 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7775931 + ... + 7776069.

It is a vampire number, since it can be written as 18000 ⋅ 60048 (with its own digits).

Almost surely, 2^1080864000 is an apocalyptic number.

1080864000 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 1080864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031163680).

1080864000 is an abundant number, since it is smaller than the sum of its proper divisors (2981463360).

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

1080864000 is an frugal number, since it uses more digits than its factorization.

1080864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1080864000 is about 32876.4961636729. The cubic root of 1080864000 is about 1026.2590912309.

The spelling of 1080864000 in words is "one billion, eighty million, eight hundred sixty-four thousand".