1006509240 has 320 divisors, whose sum is σ = 3813765120. Its totient is φ = 235872000.

The previous prime is 1006509227. The next prime is 1006509269. The reversal of 1006509240 is 429056001.

1006509240 is a `hidden beast` number, since 1 + 0 + 0 + 650 + 9 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1104385 + ... + 1105295.

It is an arithmetic number, because the mean of its divisors is an integer number (11918016).

Almost surely, 2^1006509240 is an apocalyptic number.

1006509240 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 1006509240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906882560).

1006509240 is an abundant number, since it is smaller than the sum of its proper divisors (2807255880).

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

1006509240 is a wasteful number, since it uses less digits than its factorization.

1006509240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1006509240 is about 31725.5297828106. The cubic root of 1006509240 is about 1002.1650558171.

The spelling of 1006509240 in words is "one billion, six million, five hundred nine thousand, two hundred forty".