1006933824 has 168 divisors, whose sum is σ = 3216081960. Its totient is φ = 299077632.

The previous prime is 1006933819. The next prime is 1006933841. The reversal of 1006933824 is 4283396001.

It can be written as a sum of positive squares in 4 ways, for example, as 6350400 + 1000583424 = 2520^2 + 31632^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214834 + ... + 219470.

It is an arithmetic number, because the mean of its divisors is an integer number (19143345).

Almost surely, 2^1006933824 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 1006933824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608040980).

1006933824 is an abundant number, since it is smaller than the sum of its proper divisors (2209148136).

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

1006933824 is a wasteful number, since it uses less digits than its factorization.

1006933824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1006933824 is about 31732.2205967373. The cubic root of 1006933824 is about 1002.3059531595.

The spelling of 1006933824 in words is "one billion, six million, nine hundred thirty-three thousand, eight hundred twenty-four".