1006615605606 has 64 divisors (see below), whose sum is σ = 2206139120640. Its totient is φ = 304322820480.

The previous prime is 1006615605487. The next prime is 1006615605607. The reversal of 1006615605606 is 6065065166001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006615605607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1312455 + ... + 1932813.

It is an arithmetic number, because the mean of its divisors is an integer number (34470923760).

Almost surely, 2^{1006615605606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006615605606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103069560320).

1006615605606 is an abundant number, since it is smaller than the sum of its proper divisors (1199523515034).

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

1006615605606 is a wasteful number, since it uses less digits than its factorization.

1006615605606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620741.

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 1006615605606 in words is "one trillion, six billion, six hundred fifteen million, six hundred five thousand, six hundred six".