8170390672 has 60 divisors (see below), whose sum is σ = 16842501376. Its totient is φ = 3838855680.

The previous prime is 8170390663. The next prime is 8170390673. The reversal of 8170390672 is 2760930718.

It is a happy number.

It is a super-3 number, since 3×8170390672³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8170390673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4581493 + ... + 4583275.

Almost surely, 2^8170390672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8170390672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421250688).

8170390672 is an abundant number, since it is smaller than the sum of its proper divisors (8672110704).

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

8170390672 is a wasteful number, since it uses less digits than its factorization.

8170390672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 8170390672 is about 90390.2133640584. The cubic root of 8170390672 is about 2014.0995898681.

The spelling of 8170390672 in words is "eight billion, one hundred seventy million, three hundred ninety thousand, six hundred seventy-two".