9610465806 has 192 divisors, whose sum is σ = 23851376640. Its totient is φ = 2887073280.

The previous prime is 9610465771. The next prime is 9610465807. The reversal of 9610465806 is 6085640169.

9610465806 is a `hidden beast` number, since 9 + 61 + 0 + 4 + 6 + 580 + 6 = 666.

It is a super-2 number, since 2×9610465806² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9610465807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40211035 + ... + 40211273.

It is an arithmetic number, because the mean of its divisors is an integer number (124225920).

Almost surely, 2^9610465806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9610465806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925688320).

9610465806 is an abundant number, since it is smaller than the sum of its proper divisors (14240910834).

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

9610465806 is a wasteful number, since it uses less digits than its factorization.

9610465806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9610465806 is about 98032.9832556370. The cubic root of 9610465806 is about 2126.0891897081.

The spelling of 9610465806 in words is "nine billion, six hundred ten million, four hundred sixty-five thousand, eight hundred six".