386640 has 80 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 102528.

The previous prime is 386629. The next prime is 386641. The reversal of 386640 is 46683.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2³⁸⁶⁶⁴⁰ is an apocalyptic number.

386640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

386640 is an abundant number, since it is smaller than the sum of its proper divisors (952560).

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

386640 is a wasteful number, since it uses less digits than its factorization.

386640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 386640 is about 621.8038275855. The cubic root of 386640 is about 72.8510128308.

The spelling of 386640 in words is "three hundred eighty-six thousand, six hundred forty".