1085217504 has 144 divisors (see below), whose sum is σ = 3329632656. Its totient is φ = 308582400.

The previous prime is 1085217481. The next prime is 1085217517. The reversal of 1085217504 is 4057125801.

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 23 ways as a sum of consecutive naturals, for example, 1321414 + ... + 1322234.

It is an arithmetic number, because the mean of its divisors is an integer number (23122449).

Almost surely, 2^1085217504 is an apocalyptic number.

1085217504 is a gapful number since it is divisible by the number (14) 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 1085217504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664816328).

1085217504 is an abundant number, since it is smaller than the sum of its proper divisors (2244415152).

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

1085217504 is a wasteful number, since it uses less digits than its factorization.

1085217504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 1085217504 is about 32942.6396028005. The cubic root of 1085217504 is about 1027.6351009004.

The spelling of 1085217504 in words is "one billion, eighty-five million, two hundred seventeen thousand, five hundred four".