1085342544 has 160 divisors (see below), whose sum is σ = 3660182400. Its totient is φ = 303575040.

The previous prime is 1085342507. The next prime is 1085342591. The reversal of 1085342544 is 4452435801.

It is a happy number.

1085342544 is a `hidden beast` number, since 1 + 0 + 85 + 34 + 2 + 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 = 1085342499 and 1085342508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52992 + ... + 70560.

It is an arithmetic number, because the mean of its divisors is an integer number (22876140).

Almost surely, 2^1085342544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085342544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830091200).

1085342544 is an abundant number, since it is smaller than the sum of its proper divisors (2574839856).

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

1085342544 is a wasteful number, since it uses less digits than its factorization.

1085342544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17610 (or 17598 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1085342544 is about 32944.5373924115. The cubic root of 1085342544 is about 1027.6745678146.

The spelling of 1085342544 in words is "one billion, eighty-five million, three hundred forty-two thousand, five hundred forty-four".