8385660 has 96 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 2186496.

The previous prime is 8385649. The next prime is 8385667. The reversal of 8385660 is 665838.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8385667) 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 31 ways as a sum of consecutive naturals, for example, 28474 + ... + 28766.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 2^8385660 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 8385660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

8385660 is an abundant number, since it is smaller than the sum of its proper divisors (18286020).

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

8385660 is a wasteful number, since it uses less digits than its factorization.

8385660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

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

The square root of 8385660 is about 2895.8004074867. The cubic root of 8385660 is about 203.1635298902.

It can be divided in two parts, 8385 and 660, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8385660 in words is "eight million, three hundred eighty-five thousand, six hundred sixty".