1130542560 has 288 divisors, whose sum is σ = 4641960960. Its totient is φ = 244767744.

The previous prime is 1130542549. The next prime is 1130542577. The reversal of 1130542560 is 652450311.

1130542560 is a `hidden beast` number, since 113 + 0 + 542 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 188569 + ... + 194471.

It is an arithmetic number, because the mean of its divisors is an integer number (16117920).

Almost surely, 2^1130542560 is an apocalyptic number.

1130542560 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 1130542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320980480).

1130542560 is an abundant number, since it is smaller than the sum of its proper divisors (3511418400).

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

1130542560 is a wasteful number, since it uses less digits than its factorization.

1130542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1130542560 is about 33623.5417527660. The cubic root of 1130542560 is about 1041.7471126636.

Adding to 1130542560 its reverse (652450311), we get a palindrome (1782992871).

The spelling of 1130542560 in words is "one billion, one hundred thirty million, five hundred forty-two thousand, five hundred sixty".