1126485800 has 72 divisors (see below), whose sum is σ = 2878884750. Its totient is φ = 409622400.

The previous prime is 1126485791. The next prime is 1126485803. The reversal of 1126485800 is 85846211.

It can be written as a sum of positive squares in 3 ways, for example, as 1070205796 + 56280004 = 32714^2 + 7502^2 .

It is not an unprimeable number, because it can be changed into a prime (1126485803) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 926 + ... + 47474.

Almost surely, 2^1126485800 is an apocalyptic number.

1126485800 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 1126485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439442375).

1126485800 is an abundant number, since it is smaller than the sum of its proper divisors (1752398950).

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

1126485800 is a wasteful number, since it uses less digits than its factorization.

1126485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46587 (or 46567 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 1126485800 is about 33563.1613528881. The cubic root of 1126485800 is about 1040.4995750741.

The spelling of 1126485800 in words is "one billion, one hundred twenty-six million, four hundred eighty-five thousand, eight hundred".