391104 has 84 divisors (see below), whose sum is σ = 1294384. Its totient is φ = 110592.

The previous prime is 391103. The next prime is 391117. The reversal of 391104 is 401193.

391104 = T₇₇ + T₇₈ + ... + T₁₄₀.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3984 + ... + 4080.

2³⁹¹¹⁰⁴ 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 391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647192).

391104 is an abundant number, since it is smaller than the sum of its proper divisors (903280).

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

391104 is a wasteful number, since it uses less digits than its factorization.

391104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 391104 is about 625.3830825982. The cubic root of 391104 is about 73.1303108131.

Adding to 391104 its reverse (401193), we get a palindrome (792297).

The spelling of 391104 in words is "three hundred ninety-one thousand, one hundred four".