1006420240 has 80 divisors (see below), whose sum is σ = 2691470592. Its totient is φ = 342830592.

The previous prime is 1006420237. The next prime is 1006420249. The reversal of 1006420240 is 420246001.

1006420240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1006420249) 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, 82197 + ... + 93643.

Almost surely, 2^1006420240 is an apocalyptic number.

1006420240 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 1006420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345735296).

1006420240 is an abundant number, since it is smaller than the sum of its proper divisors (1685050352).

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

1006420240 is a wasteful number, since it uses less digits than its factorization.

1006420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11624 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1006420240 is about 31724.1270959502. The cubic root of 1006420240 is about 1002.1355163237.

Adding to 1006420240 its reverse (420246001), we get a palindrome (1426666241).

The spelling of 1006420240 in words is "one billion, six million, four hundred twenty thousand, two hundred forty".