1085600232 has 80 divisors (see below), whose sum is σ = 3045417540. Its totient is φ = 361304064.

The previous prime is 1085600209. The next prime is 1085600233. The reversal of 1085600232 is 2320065801.

It can be written as a sum of positive squares in 2 ways, for example, as 864007236 + 221592996 = 29394^2 + 14886^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1085600196 and 1085600205.

It is not an unprimeable number, because it can be changed into a prime (1085600233) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 746418 + ... + 747870.

Almost surely, 2^1085600232 is an apocalyptic number.

1085600232 is a gapful number since it is divisible by the number (12) 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 1085600232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522708770).

1085600232 is an abundant number, since it is smaller than the sum of its proper divisors (1959817308).

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

1085600232 is a wasteful number, since it uses less digits than its factorization.

1085600232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1085600232 is about 32948.4480969893. The cubic root of 1085600232 is about 1027.7558934292.

The spelling of 1085600232 in words is "one billion, eighty-five million, six hundred thousand, two hundred thirty-two".