1126627200 has 144 divisors (see below), whose sum is σ = 4020166800. Its totient is φ = 300426240.

The previous prime is 1126627199. The next prime is 1126627207. The reversal of 1126627200 is 27266211.

1126627200 is a `hidden beast` number, since 1 + 12 + 6 + 627 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126627207) 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, 9241 + ... + 48359.

It is an arithmetic number, because the mean of its divisors is an integer number (27917825).

Almost surely, 2^1126627200 is an apocalyptic number.

1126627200 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 1126627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010083400).

1126627200 is an abundant number, since it is smaller than the sum of its proper divisors (2893539600).

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

1126627200 is a wasteful number, since it uses less digits than its factorization.

1126627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39149 (or 39129 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1126627200 is about 33565.2677629719. The cubic root of 1126627200 is about 1040.5431088332.

The spelling of 1126627200 in words is "one billion, one hundred twenty-six million, six hundred twenty-seven thousand, two hundred".