1085832560 has 80 divisors (see below), whose sum is σ = 2615082624. Its totient is φ = 419010816.

The previous prime is 1085832547. The next prime is 1085832569. The reversal of 1085832560 is 652385801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085832569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283619 + ... + 287421.

Almost surely, 2^1085832560 is an apocalyptic number.

1085832560 is a gapful number since it is divisible by the number (10) 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 1085832560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307541312).

1085832560 is an abundant number, since it is smaller than the sum of its proper divisors (1529250064).

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

1085832560 is a wasteful number, since it uses less digits than its factorization.

1085832560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 1085832560 is about 32951.9735372557. The cubic root of 1085832560 is about 1027.8292044673.

The spelling of 1085832560 in words is "one billion, eighty-five million, eight hundred thirty-two thousand, five hundred sixty".