611104 has 36 divisors (see below), whose sum is σ = 1314306. Its totient is φ = 279552.

The previous prime is 611101. The next prime is 611111. The reversal of 611104 is 401116.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 490000 = 348^2 + 700^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5352 + ... + 5464.

2⁶¹¹¹⁰⁴ 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 611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657153).

611104 is an abundant number, since it is smaller than the sum of its proper divisors (703202).

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

611104 is a wasteful number, since it uses less digits than its factorization.

611104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 611104 is about 781.7314116754. The cubic root of 611104 is about 84.8603936696.

The spelling of 611104 in words is "six hundred eleven thousand, one hundred four".