1126633760 has 96 divisors (see below), whose sum is σ = 3146895360. Its totient is φ = 372943872.

The previous prime is 1126633759. The next prime is 1126633769. The reversal of 1126633760 is 673366211.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1126633760.

It is not an unprimeable number, because it can be changed into a prime (1126633769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15137 + ... + 49823.

It is an arithmetic number, because the mean of its divisors is an integer number (32780160).

Almost surely, 2^1126633760 is an apocalyptic number.

1126633760 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 1126633760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573447680).

1126633760 is an abundant number, since it is smaller than the sum of its proper divisors (2020261600).

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

1126633760 is a wasteful number, since it uses less digits than its factorization.

1126633760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34738 (or 34730 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 1126633760 is about 33565.3654828902. The cubic root of 1126633760 is about 1040.5451284157.

Adding to 1126633760 its reverse (673366211), we get a palindrome (1799999971).

The spelling of 1126633760 in words is "one billion, one hundred twenty-six million, six hundred thirty-three thousand, seven hundred sixty".