387320 has 32 divisors (see below), whose sum is σ = 911520. Its totient is φ = 147840.

The previous prime is 387313. The next prime is 387329. The reversal of 387320 is 23783.

387320 is nontrivially palindromic in base 14.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387329) by changing a digit.

387320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710 + ... + 1130.

It is an arithmetic number, because the mean of its divisors is an integer number (28485).

2³⁸⁷³²⁰ 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 387320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455760).

387320 is an abundant number, since it is smaller than the sum of its proper divisors (524200).

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

387320 is a wasteful number, since it uses less digits than its factorization.

387320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 387320 is about 622.3503836265. The cubic root of 387320 is about 72.8936965289.

It can be divided in two parts, 387 and 320, that added together give a palindrome (707).

The spelling of 387320 in words is "three hundred eighty-seven thousand, three hundred twenty".