1079811824 has 120 divisors (see below), whose sum is σ = 2671704000. Its totient is φ = 418908672.

The previous prime is 1079811787. The next prime is 1079811833. The reversal of 1079811824 is 4281189701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539177 + ... + 541175.

It is an arithmetic number, because the mean of its divisors is an integer number (22264200).

Almost surely, 2^1079811824 is an apocalyptic number.

1079811824 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 1079811824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335852000).

1079811824 is an abundant number, since it is smaller than the sum of its proper divisors (1591892176).

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

1079811824 is a wasteful number, since it uses less digits than its factorization.

1079811824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 41.

The square root of 1079811824 is about 32860.4903189225. The cubic root of 1079811824 is about 1025.9259763164.

It can be divided in two parts, 10798 and 11824, that added together give a palindrome (22622).

The spelling of 1079811824 in words is "one billion, seventy-nine million, eight hundred eleven thousand, eight hundred twenty-four".