1006218240 has 176 divisors, whose sum is σ = 3253256160. Its totient is φ = 265420800.

The previous prime is 1006218223. The next prime is 1006218271. The reversal of 1006218240 is 428126001.

1006218240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1006218240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1673940 + ... + 1674540.

It is an arithmetic number, because the mean of its divisors is an integer number (18484410).

Almost surely, 2^1006218240 is an apocalyptic number.

1006218240 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 1006218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626628080).

1006218240 is an abundant number, since it is smaller than the sum of its proper divisors (2247037920).

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

1006218240 is a wasteful number, since it uses less digits than its factorization.

1006218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1006218240 is about 31720.9432394436. The cubic root of 1006218240 is about 1002.0684651685.

The spelling of 1006218240 in words is "one billion, six million, two hundred eighteen thousand, two hundred forty".