1085259024 has 120 divisors (see below), whose sum is σ = 3238185600. Its totient is φ = 338307840.

The previous prime is 1085259011. The next prime is 1085259061. The reversal of 1085259024 is 4209525801.

1085259024 is a `hidden beast` number, since 10 + 8 + 52 + 590 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1085259024.

It is a congruent number.

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, 213634 + ... + 218654.

It is an arithmetic number, because the mean of its divisors is an integer number (26984880).

Almost surely, 2^1085259024 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 1085259024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619092800).

1085259024 is an abundant number, since it is smaller than the sum of its proper divisors (2152926576).

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

1085259024 is a wasteful number, since it uses less digits than its factorization.

1085259024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1085259024 is about 32943.2697830680. The cubic root of 1085259024 is about 1027.6482063732.

The spelling of 1085259024 in words is "one billion, eighty-five million, two hundred fifty-nine thousand, twenty-four".