1126868800 has 126 divisors (see below), whose sum is σ = 2946710642. Its totient is φ = 424058880.

The previous prime is 1126868797. The next prime is 1126868803. The reversal of 1126868800 is 88686211.

It is an interprime number because it is at equal distance from previous prime (1126868797) and next prime (1126868803).

It can be written as a sum of positive squares in 9 ways, for example, as 1132096 + 1125736704 = 1064^2 + 33552^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126868803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 461182 + ... + 463618.

Almost surely, 2^1126868800 is an apocalyptic number.

1126868800 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 1126868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473355321).

1126868800 is an abundant number, since it is smaller than the sum of its proper divisors (1819841842).

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

1126868800 is a wasteful number, since it uses less digits than its factorization.

1126868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 1126868800 is about 33568.8665283772. The cubic root of 1126868800 is about 1040.6174834051.

The spelling of 1126868800 in words is "one billion, one hundred twenty-six million, eight hundred sixty-eight thousand, eight hundred".