1006810740 has 216 divisors, whose sum is σ = 3453166080. Its totient is φ = 236890368.

The previous prime is 1006810733. The next prime is 1006810747. The reversal of 1006810740 is 470186001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1006810733) and next prime (1006810747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006810747) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 698941 + ... + 700379.

It is an arithmetic number, because the mean of its divisors is an integer number (15986880).

Almost surely, 2^1006810740 is an apocalyptic number.

1006810740 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 1006810740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726583040).

1006810740 is an abundant number, since it is smaller than the sum of its proper divisors (2446355340).

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

1006810740 is a wasteful number, since it uses less digits than its factorization.

1006810740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1006810740 is about 31730.2811207213. The cubic root of 1006810740 is about 1002.2651120601.

Adding to 1006810740 its reverse (470186001), we get a palindrome (1476996741).

The spelling of 1006810740 in words is "one billion, six million, eight hundred ten thousand, seven hundred forty".