387664 has 10 divisors (see below), whose sum is σ = 751130. Its totient is φ = 193824.

The previous prime is 387659. The next prime is 387677. The reversal of 387664 is 466783.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 129600 = 508^2 + 360^2 .

It is a d-powerful number, because it can be written as 3⁸ + 8 + 6 + 7⁶ + 6⁴ + 4⁹ .

It is a congruent number.

It is an unprimeable number.

387664 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 as a sum of consecutive naturals, namely, 12099 + ... + 12130.

It is an arithmetic number, because the mean of its divisors is an integer number (75113).

2³⁸⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

387664 is a deficient number, since it is larger than the sum of its proper divisors (363466).

387664 is a wasteful number, since it uses less digits than its factorization.

387664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24237 (or 24231 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 387664 is about 622.6266939347. The cubic root of 387664 is about 72.9152704313.

The spelling of 387664 in words is "three hundred eighty-seven thousand, six hundred sixty-four".