1126504368 has 320 divisors, whose sum is σ = 3731904000. Its totient is φ = 322237440.

The previous prime is 1126504367. The next prime is 1126504369. The reversal of 1126504368 is 8634056211.

It is a happy number.

1126504368 is a `hidden beast` number, since 112 + 6 + 504 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1126504367) and next prime (1126504369).

It is a super-2 number, since 2×1126504368² = 2538024182246158848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1126504363) 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 63 ways as a sum of consecutive naturals, for example, 7560358 + ... + 7560506.

It is an arithmetic number, because the mean of its divisors is an integer number (11662200).

Almost surely, 2^1126504368 is an apocalyptic number.

1126504368 is a gapful number since it is divisible by the number (18) 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 1126504368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865952000).

1126504368 is an abundant number, since it is smaller than the sum of its proper divisors (2605399632).

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

1126504368 is a wasteful number, since it uses less digits than its factorization.

1126504368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1126504368 is about 33563.4379645471. The cubic root of 1126504368 is about 1040.5052919356.

The spelling of 1126504368 in words is "one billion, one hundred twenty-six million, five hundred four thousand, three hundred sixty-eight".