1123349760 has 324 divisors, whose sum is σ = 4215940092. Its totient is φ = 276037632.

The previous prime is 1123349753. The next prime is 1123349797. The reversal of 1123349760 is 679433211.

It can be written as a sum of positive squares in 6 ways, for example, as 13660416 + 1109689344 = 3696^2 + 33312^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1946592 + ... + 1947168.

Almost surely, 2^1123349760 is an apocalyptic number.

1123349760 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 1123349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107970046).

1123349760 is an abundant number, since it is smaller than the sum of its proper divisors (3092590332).

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

1123349760 is a wasteful number, since it uses less digits than its factorization.

1123349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1123349760 is about 33516.4103089815. The cubic root of 1123349760 is about 1039.5331237749.

The spelling of 1123349760 in words is "one billion, one hundred twenty-three million, three hundred forty-nine thousand, seven hundred sixty".