1610406006 has 64 divisors (see below), whose sum is σ = 3581625600. Its totient is φ = 478643840.

The previous prime is 1610405999. The next prime is 1610406059. The reversal of 1610406006 is 6006040161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815236 + ... + 817208.

It is an arithmetic number, because the mean of its divisors is an integer number (55962900).

Almost surely, 2^1610406006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610406006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790812800).

1610406006 is an abundant number, since it is smaller than the sum of its proper divisors (1971219594).

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

1610406006 is a wasteful number, since it uses less digits than its factorization.

1610406006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1610406006 is about 40129.8642659055. The cubic root of 1610406006 is about 1172.1372302394.

Adding to 1610406006 its reverse (6006040161), we get a palindrome (7616446167).

The spelling of 1610406006 in words is "one billion, six hundred ten million, four hundred six thousand, six".