1085352160 has 96 divisors (see below), whose sum is σ = 2669248512. Its totient is φ = 416586240.

The previous prime is 1085352157. The next prime is 1085352167. The reversal of 1085352160 is 612535801.

It is a super-2 number, since 2×1085352160² = 2355978622433331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085352167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629059 + ... + 630781.

It is an arithmetic number, because the mean of its divisors is an integer number (27804672).

Almost surely, 2^1085352160 is an apocalyptic number.

1085352160 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 1085352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334624256).

1085352160 is an abundant number, since it is smaller than the sum of its proper divisors (1583896352).

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

1085352160 is a wasteful number, since it uses less digits than its factorization.

1085352160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1085352160 is about 32944.6833343409. The cubic root of 1085352160 is about 1027.6776028286.

Adding to 1085352160 its reverse (612535801), we get a palindrome (1697887961).

The spelling of 1085352160 in words is "one billion, eighty-five million, three hundred fifty-two thousand, one hundred sixty".