1165838580 has 144 divisors (see below), whose sum is σ = 3771003600. Its totient is φ = 290525184.

The previous prime is 1165838539. The next prime is 1165838581. The reversal of 1165838580 is 858385611.

1165838580 is a `hidden beast` number, since 1 + 1 + 65 + 8 + 3 + 8 + 580 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36072036 + 1129766544 = 6006^2 + 33612^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165838581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454662 + ... + 457218.

It is an arithmetic number, because the mean of its divisors is an integer number (26187525).

Almost surely, 2^1165838580 is an apocalyptic number.

1165838580 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 1165838580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885501800).

1165838580 is an abundant number, since it is smaller than the sum of its proper divisors (2605165020).

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

1165838580 is a wasteful number, since it uses less digits than its factorization.

1165838580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 1165838580 is about 34144.3784538539. The cubic root of 1165838580 is about 1052.4774695538.

The spelling of 1165838580 in words is "one billion, one hundred sixty-five million, eight hundred thirty-eight thousand, five hundred eighty".