386988 has 48 divisors (see below), whose sum is σ = 1096704. Its totient is φ = 103680.

The previous prime is 386987. The next prime is 386989. The reversal of 386988 is 889683.

It is an interprime number because it is at equal distance from previous prime (386987) and next prime (386989).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 3⁷ + 8⁵ + 9⁴ + 6⁷ + 8⁵ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (386987) 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, 1293 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (22848).

2³⁸⁶⁹⁸⁸ 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 386988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352).

386988 is an abundant number, since it is smaller than the sum of its proper divisors (709716).

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

386988 is a wasteful number, since it uses less digits than its factorization.

386988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 386988 is about 622.0835956686. The cubic root of 386988 is about 72.8728630878.

The spelling of 386988 in words is "three hundred eighty-six thousand, nine hundred eighty-eight".