1085521248 has 288 divisors, whose sum is σ = 3777725952. Its totient is φ = 288921600.

The previous prime is 1085521219. The next prime is 1085521253. The reversal of 1085521248 is 8421255801.

1085521248 is a `hidden beast` number, since 10 + 85 + 521 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900803 + ... + 1901373.

It is an arithmetic number, because the mean of its divisors is an integer number (13117104).

Almost surely, 2^1085521248 is an apocalyptic number.

1085521248 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 1085521248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888862976).

1085521248 is an abundant number, since it is smaller than the sum of its proper divisors (2692204704).

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

1085521248 is a wasteful number, since it uses less digits than its factorization.

1085521248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1085521248 is about 32947.2494754873. The cubic root of 1085521248 is about 1027.7309676668.

The spelling of 1085521248 in words is "one billion, eighty-five million, five hundred twenty-one thousand, two hundred forty-eight".