1085686560 has 576 divisors, whose sum is σ = 4517420544. Its totient is φ = 232243200.

The previous prime is 1085686541. The next prime is 1085686561. The reversal of 1085686560 is 656865801.

1085686560 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 6 + 86 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1085686561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15291325 + ... + 15291395.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2^1085686560 is an apocalyptic number.

1085686560 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 1085686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258710272).

1085686560 is an abundant number, since it is smaller than the sum of its proper divisors (3431733984).

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

1085686560 is a wasteful number, since it uses less digits than its factorization.

1085686560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

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

The square root of 1085686560 is about 32949.7581174733. The cubic root of 1085686560 is about 1027.7831354275.

The spelling of 1085686560 in words is "one billion, eighty-five million, six hundred eighty-six thousand, five hundred sixty".