1085544000 has 168 divisors, whose sum is σ = 3883429368. Its totient is φ = 289459200.

The previous prime is 1085543981. The next prime is 1085544017. The reversal of 1085544000 is 4455801.

1085544000 is a `hidden beast` number, since 108 + 554 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 267126336 + 818417664 = 16344^2 + 28608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64462 + ... + 79538.

It is an arithmetic number, because the mean of its divisors is an integer number (23115651).

Almost surely, 2^1085544000 is an apocalyptic number.

1085544000 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 1085544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941714684).

1085544000 is an abundant number, since it is smaller than the sum of its proper divisors (2797885368).

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

1085544000 is a wasteful number, since it uses less digits than its factorization.

1085544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15110 (or 15087 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1085544000 is about 32947.5947528799. The cubic root of 1085544000 is about 1027.7381478646.

Adding to 1085544000 its reverse (4455801), we get a palindrome (1089999801).

The spelling of 1085544000 in words is "one billion, eighty-five million, five hundred forty-four thousand".