1085810544 has 480 divisors, whose sum is σ = 4003743744. Its totient is φ = 267079680.

The previous prime is 1085810543. The next prime is 1085810563. The reversal of 1085810544 is 4450185801.

1085810544 is a `hidden beast` number, since 108 + 5 + 8 + 1 + 0 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1085810499 and 1085810508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085810543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23102329 + ... + 23102375.

Almost surely, 2^1085810544 is an apocalyptic number.

1085810544 is a gapful number since it is divisible by the number (14) 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 1085810544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001871872).

1085810544 is an abundant number, since it is smaller than the sum of its proper divisors (2917933200).

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

1085810544 is a wasteful number, since it uses less digits than its factorization.

1085810544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1085810544 is about 32951.6394736286. The cubic root of 1085810544 is about 1027.8222577729.

The spelling of 1085810544 in words is "one billion, eighty-five million, eight hundred ten thousand, five hundred forty-four".