1006390140 has 192 divisors, whose sum is σ = 3469132800. Its totient is φ = 212742144.

The previous prime is 1006390127. The next prime is 1006390241. The reversal of 1006390140 is 410936001.

It is a super-2 number, since 2×1006390140² = 2025642227778439200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006390140.

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, 420066 + ... + 422454.

It is an arithmetic number, because the mean of its divisors is an integer number (18068400).

Almost surely, 2^1006390140 is an apocalyptic number.

1006390140 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 1006390140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734566400).

1006390140 is an abundant number, since it is smaller than the sum of its proper divisors (2462742660).

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

1006390140 is a wasteful number, since it uses less digits than its factorization.

1006390140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1006390140 is about 31723.6526900671. The cubic root of 1006390140 is about 1002.1255256066.

The spelling of 1006390140 in words is "one billion, six million, three hundred ninety thousand, one hundred forty".