1026661824 has 112 divisors (see below), whose sum is σ = 3195828000. Its totient is φ = 322080768.

The previous prime is 1026661819. The next prime is 1026661849. The reversal of 1026661824 is 4281666201.

1026661824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11902 + ... + 46850.

Almost surely, 2^1026661824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597914000).

1026661824 is an abundant number, since it is smaller than the sum of its proper divisors (2169166176).

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

1026661824 is a wasteful number, since it uses less digits than its factorization.

1026661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34987 (or 34971 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1026661824 is about 32041.5640067710. The cubic root of 1026661824 is about 1008.8094405349.

The spelling of 1026661824 in words is "one billion, twenty-six million, six hundred sixty-one thousand, eight hundred twenty-four".