1085836752 has 640 divisors, whose sum is σ = 4373053440. Its totient is φ = 251942400.

The previous prime is 1085836711. The next prime is 1085836777. The reversal of 1085836752 is 2576385801.

1085836752 is a `hidden beast` number, since 1 + 0 + 8 + 583 + 67 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1085836698 and 1085836707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35026977 + ... + 35027007.

It is an arithmetic number, because the mean of its divisors is an integer number (6832896).

Almost surely, 2^1085836752 is an apocalyptic number.

1085836752 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 1085836752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186526720).

1085836752 is an abundant number, since it is smaller than the sum of its proper divisors (3287216688).

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

1085836752 is a wasteful number, since it uses less digits than its factorization.

1085836752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1085836752 is about 32952.0371449172. The cubic root of 1085836752 is about 1027.8305271557.

The spelling of 1085836752 in words is "one billion, eighty-five million, eight hundred thirty-six thousand, seven hundred fifty-two".