1006125240 has 256 divisors, whose sum is σ = 3338496000. Its totient is φ = 241643520.

The previous prime is 1006125191. The next prime is 1006125283. The reversal of 1006125240 is 425216001.

1006125240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4393446 + ... + 4393674.

It is an arithmetic number, because the mean of its divisors is an integer number (13041000).

Almost surely, 2^1006125240 is an apocalyptic number.

1006125240 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 1006125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669248000).

1006125240 is an abundant number, since it is smaller than the sum of its proper divisors (2332370760).

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

1006125240 is a wasteful number, since it uses less digits than its factorization.

1006125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1006125240 is about 31719.4772970804. The cubic root of 1006125240 is about 1002.0375920654.

The spelling of 1006125240 in words is "one billion, six million, one hundred twenty-five thousand, two hundred forty".