1126110816 has 96 divisors (see below), whose sum is σ = 3340310400. Its totient is φ = 368991360.

The previous prime is 1126110809. The next prime is 1126110823. The reversal of 1126110816 is 6180116211.

It is an interprime number because it is at equal distance from previous prime (1126110809) and next prime (1126110823).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1126110816.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39931 + ... + 62021.

It is an arithmetic number, because the mean of its divisors is an integer number (34794900).

Almost surely, 2^1126110816 is an apocalyptic number.

1126110816 is a gapful number since it is divisible by the number (16) 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 1126110816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670155200).

1126110816 is an abundant number, since it is smaller than the sum of its proper divisors (2214199584).

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

1126110816 is a wasteful number, since it uses less digits than its factorization.

1126110816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22169 (or 22155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1126110816 is about 33557.5746441843. The cubic root of 1126110816 is about 1040.3841086108.

The spelling of 1126110816 in words is "one billion, one hundred twenty-six million, one hundred ten thousand, eight hundred sixteen".