1006116540 has 192 divisors, whose sum is σ = 3336076800. Its totient is φ = 223349760.

The previous prime is 1006116539. The next prime is 1006116541. The reversal of 1006116540 is 456116001.

It is an interprime number because it is at equal distance from previous prime (1006116539) and next prime (1006116541).

It is a self number, because there is not a number n which added to its sum of digits gives 1006116540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006116541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1278027 + ... + 1278813.

It is an arithmetic number, because the mean of its divisors is an integer number (17375400).

Almost surely, 2^1006116540 is an apocalyptic number.

1006116540 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 1006116540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668038400).

1006116540 is an abundant number, since it is smaller than the sum of its proper divisors (2329960260).

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

1006116540 is a wasteful number, since it uses less digits than its factorization.

1006116540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1006116540 is about 31719.3401570714. The cubic root of 1006116540 is about 1002.0347038390.

The spelling of 1006116540 in words is "one billion, six million, one hundred sixteen thousand, five hundred forty".