1130567760 has 320 divisors, whose sum is σ = 4645416960. Its totient is φ = 247104000.

The previous prime is 1130567693. The next prime is 1130567777. The reversal of 1130567760 is 677650311.

1130567760 is a `hidden beast` number, since 1 + 1 + 30 + 567 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346135 + ... + 349385.

It is an arithmetic number, because the mean of its divisors is an integer number (14516928).

Almost surely, 2^1130567760 is an apocalyptic number.

1130567760 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 1130567760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322708480).

1130567760 is an abundant number, since it is smaller than the sum of its proper divisors (3514849200).

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

1130567760 is a wasteful number, since it uses less digits than its factorization.

1130567760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1130567760 is about 33623.9164881190. The cubic root of 1130567760 is about 1041.7548528505.

The spelling of 1130567760 in words is "one billion, one hundred thirty million, five hundred sixty-seven thousand, seven hundred sixty".