1130431360 has 64 divisors (see below), whose sum is σ = 2706508800. Its totient is φ = 451491840.

The previous prime is 1130431333. The next prime is 1130431369. The reversal of 1130431360 is 631340311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1130431360³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130431369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 817870 + ... + 819250.

It is an arithmetic number, because the mean of its divisors is an integer number (42289200).

Almost surely, 2^1130431360 is an apocalyptic number.

1130431360 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 1130431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353254400).

1130431360 is an abundant number, since it is smaller than the sum of its proper divisors (1576077440).

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

1130431360 is a wasteful number, since it uses less digits than its factorization.

1130431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1130431360 is about 33621.8881087901. Note that the first 3 decimals coincide. The cubic root of 1130431360 is about 1041.7129561794.

Adding to 1130431360 its reverse (631340311), we get a palindrome (1761771671).

The spelling of 1130431360 in words is "one billion, one hundred thirty million, four hundred thirty-one thousand, three hundred sixty".