1086784560 has 160 divisors (see below), whose sum is σ = 3756991680. Its totient is φ = 288755712.

The previous prime is 1086784481. The next prime is 1086784579. The reversal of 1086784560 is 654876801.

It is a happy number.

1086784560 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 7 + 84 + 560 = 666.

It is a super-2 number, since 2×1086784560² = 2362201359708787200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727174 + ... + 728666.

It is an arithmetic number, because the mean of its divisors is an integer number (23481198).

Almost surely, 2^1086784560 is an apocalyptic number.

1086784560 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 1086784560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878495840).

1086784560 is an abundant number, since it is smaller than the sum of its proper divisors (2670207120).

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

1086784560 is a wasteful number, since it uses less digits than its factorization.

1086784560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1086784560 is about 32966.4156377365. The cubic root of 1086784560 is about 1028.1294986423.

The spelling of 1086784560 in words is "one billion, eighty-six million, seven hundred eighty-four thousand, five hundred sixty".