8346672 has 60 divisors (see below), whose sum is σ = 24131640. Its totient is φ = 2762208.

The previous prime is 8346649. The next prime is 8346703. The reversal of 8346672 is 2766438.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48384) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59979 + ... + 60117.

It is an arithmetic number, because the mean of its divisors is an integer number (402194).

Almost surely, 2^8346672 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 8346672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065820).

8346672 is an abundant number, since it is smaller than the sum of its proper divisors (15784968).

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

8346672 is a wasteful number, since it uses less digits than its factorization.

8346672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 144 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 8346672 is about 2889.0607470249. The cubic root of 8346672 is about 202.8481801426.

It can be divided in two parts, 83466 and 72, that added together give a palindrome (83538).

The spelling of 8346672 in words is "eight million, three hundred forty-six thousand, six hundred seventy-two".