1085120652 has 192 divisors, whose sum is σ = 3338108928. Its totient is φ = 266112000.

The previous prime is 1085120627. The next prime is 1085120653. The reversal of 1085120652 is 2560215801.

It is not an unprimeable number, because it can be changed into a prime (1085120653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1231252 + ... + 1232132.

It is an arithmetic number, because the mean of its divisors is an integer number (17385984).

Almost surely, 2^1085120652 is an apocalyptic number.

1085120652 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 1085120652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669054464).

1085120652 is an abundant number, since it is smaller than the sum of its proper divisors (2252988276).

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

1085120652 is a wasteful number, since it uses less digits than its factorization.

1085120652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1085120652 is about 32941.1695602934. The cubic root of 1085120652 is about 1027.6045290026.

The spelling of 1085120652 in words is "one billion, eighty-five million, one hundred twenty thousand, six hundred fifty-two".