8146656 has 120 divisors (see below), whose sum is σ = 27442800. Its totient is φ = 2322432.

The previous prime is 8146639. The next prime is 8146657. The reversal of 8146656 is 6566418.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8146656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8146657) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17920 + ... + 18368.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 2^8146656 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 8146656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721400).

8146656 is an abundant number, since it is smaller than the sum of its proper divisors (19296144).

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

8146656 is a wasteful number, since it uses less digits than its factorization.

8146656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 8146656 is about 2854.2347485797. The cubic root of 8146656 is about 201.2147404246.

It can be divided in two parts, 81 and 46656, that multiplied together give a square (3779136 = 1944²).

The spelling of 8146656 in words is "eight million, one hundred forty-six thousand, six hundred fifty-six".