1085527872 has 448 divisors, whose sum is σ = 3932651520. Its totient is φ = 288921600.

The previous prime is 1085527829. The next prime is 1085527909. The reversal of 1085527872 is 2787255801.

1085527872 is a `hidden beast` number, since 10 + 8 + 552 + 7 + 87 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5683297 + ... + 5683487.

It is an arithmetic number, because the mean of its divisors is an integer number (8778240).

Almost surely, 2^1085527872 is an apocalyptic number.

1085527872 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 1085527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966325760).

1085527872 is an abundant number, since it is smaller than the sum of its proper divisors (2847123648).

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

1085527872 is a wasteful number, since it uses less digits than its factorization.

1085527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 1085527872 is about 32947.3499996585. The cubic root of 1085527872 is about 1027.7330581145.

The spelling of 1085527872 in words is "one billion, eighty-five million, five hundred twenty-seven thousand, eight hundred seventy-two".