1085438916 has 135 divisors (see below), whose sum is σ = 3076739211. Its totient is φ = 322607232.

The previous prime is 1085438911. The next prime is 1085438917. The reversal of 1085438916 is 6198345801.

The square root of 1085438916 is 32946.

It is a perfect power (a square), and thus also a powerful number.

1085438916 is a `hidden beast` number, since 10 + 8 + 543 + 8 + 91 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 336869316 + 748569600 = 18354^2 + 27360^2 .

It is not an unprimeable number, because it can be changed into a prime (1085438911) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57128355 + ... + 57128373.

Almost surely, 2^1085438916 is an apocalyptic number.

1085438916 is the 32946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085438916

1085438916 is an abundant number, since it is smaller than the sum of its proper divisors (1991300295).

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

1085438916 is an equidigital number, since it uses as much as digits as its factorization.

1085438916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The cubic root of 1085438916 is about 1027.7049840559.

It can be divided in two parts, 10854 and 38916, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 1085438916 in words is "one billion, eighty-five million, four hundred thirty-eight thousand, nine hundred sixteen".