1126581720 has 128 divisors (see below), whose sum is σ = 3695466240. Its totient is φ = 272483840.

The previous prime is 1126581719. The next prime is 1126581749. The reversal of 1126581720 is 271856211.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 861307 + ... + 862613.

It is an arithmetic number, because the mean of its divisors is an integer number (28870830).

Almost surely, 2^1126581720 is an apocalyptic number.

1126581720 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 1126581720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847733120).

1126581720 is an abundant number, since it is smaller than the sum of its proper divisors (2568884520).

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

1126581720 is a wasteful number, since it uses less digits than its factorization.

1126581720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1126581720 is about 33564.5902701046. The cubic root of 1126581720 is about 1040.5291070003.

The spelling of 1126581720 in words is "one billion, one hundred twenty-six million, five hundred eighty-one thousand, seven hundred twenty".