1130659200 has 576 divisors, whose sum is σ = 4557833280. Its totient is φ = 264499200.

The previous prime is 1130659183. The next prime is 1130659241. The reversal of 1130659200 is 29560311.

1130659200 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 659 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13622359 + ... + 13622441.

It is an arithmetic number, because the mean of its divisors is an integer number (7912905).

Almost surely, 2^1130659200 is an apocalyptic number.

1130659200 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 1130659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278916640).

1130659200 is an abundant number, since it is smaller than the sum of its proper divisors (3427174080).

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

1130659200 is a wasteful number, since it uses less digits than its factorization.

1130659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1130659200 is about 33625.2762070440. The cubic root of 1130659200 is about 1041.7829377058.

It can be divided in two parts, 113065 and 9200, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 1130659200 in words is "one billion, one hundred thirty million, six hundred fifty-nine thousand, two hundred".