1006011040 has 96 divisors (see below), whose sum is σ = 2524801104. Its totient is φ = 377487360.

The previous prime is 1006011037. The next prime is 1006011049. The reversal of 1006011040 is 401106001.

1006011040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 990738576 + 15272464 = 31476^2 + 3908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1006011040.

It is not an unprimeable number, because it can be changed into a prime (1006011049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569120 + ... + 1569760.

Almost surely, 2^1006011040 is an apocalyptic number.

1006011040 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 1006011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262400552).

1006011040 is an abundant number, since it is smaller than the sum of its proper divisors (1518790064).

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

1006011040 is a wasteful number, since it uses less digits than its factorization.

1006011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1006011040 is about 31717.6770902284. The cubic root of 1006011040 is about 1001.9996786200. Note that the first 3 decimals are identical.

Adding to 1006011040 its reverse (401106001), we get a palindrome (1407117041).

The spelling of 1006011040 in words is "one billion, six million, eleven thousand, forty".