1006644240 has 240 divisors, whose sum is σ = 4033848960. Its totient is φ = 230065920.

The previous prime is 1006644209. The next prime is 1006644241. The reversal of 1006644240 is 424466001.

1006644240 is a `hidden beast` number, since 10 + 0 + 6 + 644 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1006644241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101085 + ... + 110595.

It is an arithmetic number, because the mean of its divisors is an integer number (16807704).

Almost surely, 2^1006644240 is an apocalyptic number.

1006644240 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 1006644240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016924480).

1006644240 is an abundant number, since it is smaller than the sum of its proper divisors (3027204720).

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

1006644240 is a wasteful number, since it uses less digits than its factorization.

1006644240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9547 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1006644240 is about 31727.6573355172. The cubic root of 1006644240 is about 1002.2098595900.

The spelling of 1006644240 in words is "one billion, six million, six hundred forty-four thousand, two hundred forty".