1126576000 has 256 divisors, whose sum is σ = 3156304320. Its totient is φ = 396288000.

The previous prime is 1126575959. The next prime is 1126576001. The reversal of 1126576000 is 6756211.

It is a self number, because there is not a number n which added to its sum of digits gives 1126576000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126576001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6511914 + ... + 6512086.

Almost surely, 2^1126576000 is an apocalyptic number.

1126576000 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 1126576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578152160).

1126576000 is an abundant number, since it is smaller than the sum of its proper divisors (2029728320).

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

1126576000 is a wasteful number, since it uses less digits than its factorization.

1126576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1126576000 is about 33564.5050611505. The cubic root of 1126576000 is about 1040.5273459692.

The spelling of 1126576000 in words is "one billion, one hundred twenty-six million, five hundred seventy-six thousand".