385664 has 32 divisors (see below), whose sum is σ = 807840. Its totient is φ = 183040.

The previous prime is 385663. The next prime is 385709. The reversal of 385664 is 466583.

385664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 385664.

It is not an unprimeable number, because it can be changed into a prime (385661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2879 + ... + 3009.

It is an arithmetic number, because the mean of its divisors is an integer number (25245).

2³⁸⁵⁶⁶⁴ 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 385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403920).

385664 is an abundant number, since it is smaller than the sum of its proper divisors (422176).

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

385664 is a wasteful number, since it uses less digits than its factorization.

385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 385664 is about 621.0185182424. The cubic root of 385664 is about 72.7896616161.

The spelling of 385664 in words is "three hundred eighty-five thousand, six hundred sixty-four".