1130586408 has 144 divisors (see below), whose sum is σ = 3615842880. Its totient is φ = 318136896.

The previous prime is 1130586397. The next prime is 1130586421. The reversal of 1130586408 is 8046850311.

1130586408 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 5 + 8 + 640 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233985 + ... + 238767.

It is an arithmetic number, because the mean of its divisors is an integer number (25110020).

Almost surely, 2^1130586408 is an apocalyptic number.

1130586408 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 1130586408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807921440).

1130586408 is an abundant number, since it is smaller than the sum of its proper divisors (2485256472).

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

1130586408 is a wasteful number, since it uses less digits than its factorization.

1130586408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1130586408 is about 33624.1937895914. The cubic root of 1130586408 is about 1041.7605805148.

The spelling of 1130586408 in words is "one billion, one hundred thirty million, five hundred eighty-six thousand, four hundred eight".