983688 has 32 divisors (see below), whose sum is σ = 2604960. Its totient is φ = 308480.

The previous prime is 983659. The next prime is 983699. The reversal of 983688 is 886389.

It is an unprimeable number.

983688 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 7 ways as a sum of consecutive naturals, for example, 798 + ... + 1613.

It is an arithmetic number, because the mean of its divisors is an integer number (81405).

2⁹⁸³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

983688 is an abundant number, since it is smaller than the sum of its proper divisors (1621272).

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

983688 is a wasteful number, since it uses less digits than its factorization.

983688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2433 counting only the distinct ones).

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

The square root of 983688 is about 991.8104657645. The cubic root of 983688 is about 99.4532831203.

It can be divided in two parts, 9836 and 88, that multiplied together give a palindrome (865568).

The spelling of 983688 in words is "nine hundred eighty-three thousand, six hundred eighty-eight".