1125867600 has 600 divisors, whose sum is σ = 4766590752. Its totient is φ = 251942400.

The previous prime is 1125867599. The next prime is 1125867607. The reversal of 1125867600 is 67685211.

1125867600 is a `hidden beast` number, since 1 + 1 + 2 + 586 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125867607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86605194 + ... + 86605206.

Almost surely, 2^1125867600 is an apocalyptic number.

1125867600 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 1125867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383295376).

1125867600 is an abundant number, since it is smaller than the sum of its proper divisors (3640723152).

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

1125867600 is an equidigital number, since it uses as much as digits as its factorization.

1125867600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1125867600 is about 33553.9505870769. The cubic root of 1125867600 is about 1040.3092029334.

The spelling of 1125867600 in words is "one billion, one hundred twenty-five million, eight hundred sixty-seven thousand, six hundred".