386656 has 24 divisors (see below), whose sum is σ = 781704. Its totient is φ = 188160.

The previous prime is 386651. The next prime is 386677. The reversal of 386656 is 656683.

386656 = 44² + 45² + ... + 107².

It is a plaindrome in base 11.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386651) by changing a digit.

386656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1236 + ... + 1516.

It is an arithmetic number, because the mean of its divisors is an integer number (32571).

2³⁸⁶⁶⁵⁶ 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 386656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390852).

386656 is an abundant number, since it is smaller than the sum of its proper divisors (395048).

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

386656 is a wasteful number, since it uses less digits than its factorization.

386656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 386656 is about 621.8166932465. The cubic root of 386656 is about 72.8520177278.

The spelling of 386656 in words is "three hundred eighty-six thousand, six hundred fifty-six".