398688 has 24 divisors (see below), whose sum is σ = 1046808. Its totient is φ = 132864.

The previous prime is 398683. The next prime is 398693. The reversal of 398688 is 886893.

It is an interprime number because it is at equal distance from previous prime (398683) and next prime (398693).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398681) by changing a digit.

398688 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1981 + ... + 2172.

It is an arithmetic number, because the mean of its divisors is an integer number (43617).

2³⁹⁸⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

398688 is an abundant number, since it is smaller than the sum of its proper divisors (648120).

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

398688 is a wasteful number, since it uses less digits than its factorization.

398688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4158 counting only the distinct ones).

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

The square root of 398688 is about 631.4174530372. The cubic root of 398688 is about 73.5999842470.

The spelling of 398688 in words is "three hundred ninety-eight thousand, six hundred eighty-eight".