613944 has 24 divisors (see below), whose sum is σ = 1662960. Its totient is φ = 204624.

The previous prime is 613903. The next prime is 613957. The reversal of 613944 is 449316.

613944 is a `hidden beast` number, since 613 + 9 + 44 = 666.

613944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 613944.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4192 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (69290).

2⁶¹³⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

613944 is an abundant number, since it is smaller than the sum of its proper divisors (1049016).

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

613944 is a wasteful number, since it uses less digits than its factorization.

613944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8532 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 613944 is about 783.5457867923. The cubic root of 613944 is about 84.9916485451.

It can be divided in two parts, 61 and 3944, that added together give a triangular number (4005 = T₈₉).

The spelling of 613944 in words is "six hundred thirteen thousand, nine hundred forty-four".