386320 has 40 divisors (see below), whose sum is σ = 982080. Its totient is φ = 140160.

The previous prime is 386303. The next prime is 386329. The reversal of 386320 is 23683.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 386291 and 386300.

It is not an unprimeable number, because it can be changed into a prime (386329) by changing a digit.

386320 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 7 ways as a sum of consecutive naturals, for example, 661 + ... + 1099.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2³⁸⁶³²⁰ 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 386320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

386320 is an abundant number, since it is smaller than the sum of its proper divisors (595760).

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

386320 is a wasteful number, since it uses less digits than its factorization.

386320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 386320 is about 621.5464584406. The cubic root of 386320 is about 72.8309090663.

It can be divided in two parts, 3863 and 20, that added together give a palindrome (3883).

The spelling of 386320 in words is "three hundred eighty-six thousand, three hundred twenty".