1085934528 has 168 divisors, whose sum is σ = 3644615520. Its totient is φ = 302653440.

The previous prime is 1085934503. The next prime is 1085934529. The reversal of 1085934528 is 8254395801.

1085934528 is a `hidden beast` number, since 1 + 0 + 8 + 593 + 4 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085934529) 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 23 ways as a sum of consecutive naturals, for example, 162028 + ... + 168596.

It is an arithmetic number, because the mean of its divisors is an integer number (21694140).

Almost surely, 2^1085934528 is an apocalyptic number.

1085934528 is a gapful number since it is divisible by the number (18) 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 1085934528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822307760).

1085934528 is an abundant number, since it is smaller than the sum of its proper divisors (2558680992).

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

1085934528 is a wasteful number, since it uses less digits than its factorization.

1085934528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6635 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1085934528 is about 32953.5207223750. The cubic root of 1085934528 is about 1027.8613771403.

The spelling of 1085934528 in words is "one billion, eighty-five million, nine hundred thirty-four thousand, five hundred twenty-eight".