1130295600 has 240 divisors, whose sum is σ = 4598039040. Its totient is φ = 258336000.

The previous prime is 1130295563. The next prime is 1130295613. The reversal of 1130295600 is 65920311.

1130295600 is a `hidden beast` number, since 1 + 1 + 30 + 29 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68125 + ... + 83075.

It is an arithmetic number, because the mean of its divisors is an integer number (19158496).

Almost surely, 2^1130295600 is an apocalyptic number.

1130295600 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 1130295600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299019520).

1130295600 is an abundant number, since it is smaller than the sum of its proper divisors (3467743440).

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

1130295600 is a wasteful number, since it uses less digits than its factorization.

1130295600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985 (or 14968 counting only the distinct ones).

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

The square root of 1130295600 is about 33619.8691252658. The cubic root of 1130295600 is about 1041.6712527443.

The spelling of 1130295600 in words is "one billion, one hundred thirty million, two hundred ninety-five thousand, six hundred".