1133163360 has 288 divisors, whose sum is σ = 4478423040. Its totient is φ = 255550464.

The previous prime is 1133163359. The next prime is 1133163377. The reversal of 1133163360 is 633613311.

1133163360 is a `hidden beast` number, since 1 + 13 + 316 + 336 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795609 + ... + 797031.

It is an arithmetic number, because the mean of its divisors is an integer number (15550080).

Almost surely, 2^1133163360 is an apocalyptic number.

1133163360 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 1133163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239211520).

1133163360 is an abundant number, since it is smaller than the sum of its proper divisors (3345259680).

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

1133163360 is a wasteful number, since it uses less digits than its factorization.

1133163360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 1133163360 is about 33662.4918863711. The cubic root of 1133163360 is about 1042.5514768501.

Adding to 1133163360 its reverse (633613311), we get a palindrome (1766776671).

It can be divided in two parts, 11331 and 63360, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 1133163360 in words is "one billion, one hundred thirty-three million, one hundred sixty-three thousand, three hundred sixty".