613904 has 40 divisors (see below), whose sum is σ = 1314648. Its totient is φ = 276480.

The previous prime is 613903. The next prime is 613957. The reversal of 613904 is 409316.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 490000 = 352^2 + 700^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 613904.

It is not an unprimeable number, because it can be changed into a prime (613903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10034 + ... + 10094.

2⁶¹³⁹⁰⁴ 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 613904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657324).

613904 is an abundant number, since it is smaller than the sum of its proper divisors (700744).

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

613904 is a wasteful number, since it uses less digits than its factorization.

613904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 613904 is about 783.5202613845. The cubic root of 613904 is about 84.9898026983.

It can be divided in two parts, 61 and 3904, that multiplied together give a square (238144 = 488²).

The spelling of 613904 in words is "six hundred thirteen thousand, nine hundred four".