1126412784 has 240 divisors, whose sum is σ = 3799756800. Its totient is φ = 318536064.

The previous prime is 1126412761. The next prime is 1126412789. The reversal of 1126412784 is 4872146211.

It is a happy number.

1126412784 is a `hidden beast` number, since 1 + 1 + 2 + 641 + 2 + 7 + 8 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126412789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2688127 + ... + 2688545.

It is an arithmetic number, because the mean of its divisors is an integer number (15832320).

Almost surely, 2^1126412784 is an apocalyptic number.

1126412784 is a gapful number since it is divisible by the number (14) 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 1126412784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899878400).

1126412784 is an abundant number, since it is smaller than the sum of its proper divisors (2673344016).

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

1126412784 is a wasteful number, since it uses less digits than its factorization.

1126412784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 558 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1126412784 is about 33562.0735950567. The cubic root of 1126412784 is about 1040.4770937259.

Adding to 1126412784 its reverse (4872146211), we get a palindrome (5998558995).

The spelling of 1126412784 in words is "one billion, one hundred twenty-six million, four hundred twelve thousand, seven hundred eighty-four".