1126588416 has 56 divisors (see below), whose sum is σ = 3004117944. Its totient is φ = 375521280.

The previous prime is 1126588399. The next prime is 1126588429. The reversal of 1126588416 is 6148856211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1656 + ... + 47496.

Almost surely, 2^1126588416 is an apocalyptic number.

1126588416 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 1126588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502058972).

1126588416 is an abundant number, since it is smaller than the sum of its proper divisors (1877529528).

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

1126588416 is an frugal number, since it uses more digits than its factorization.

1126588416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45870 (or 45846 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 1126588416 is about 33564.6900179340. The cubic root of 1126588416 is about 1040.5311685076.

It can be divided in two parts, 11265 and 88416, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 1126588416 in words is "one billion, one hundred twenty-six million, five hundred eighty-eight thousand, four hundred sixteen".