1123385760 has 720 divisors, whose sum is σ = 4849142760. Its totient is φ = 243855360.

The previous prime is 1123385743. The next prime is 1123385761. The reversal of 1123385760 is 675833211.

It can be written as a sum of positive squares in 4 ways, for example, as 597509136 + 525876624 = 24444^2 + 22932^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1123385761) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18416130 + ... + 18416190.

Almost surely, 2^1123385760 is an apocalyptic number.

1123385760 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 1123385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424571380).

1123385760 is an abundant number, since it is smaller than the sum of its proper divisors (3725757000).

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

1123385760 is a wasteful number, since it uses less digits than its factorization.

1123385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1123385760 is about 33516.9473550322. The cubic root of 1123385760 is about 1039.5442282988.

The spelling of 1123385760 in words is "one billion, one hundred twenty-three million, three hundred eighty-five thousand, seven hundred sixty".