613728 has 36 divisors (see below), whose sum is σ = 1746108. Its totient is φ = 204480.

The previous prime is 613699. The next prime is 613733. The reversal of 613728 is 827316.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 778 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (48503).

2⁶¹³⁷²⁸ is an apocalyptic number.

It is an amenable number.

613728 is an abundant number, since it is smaller than the sum of its proper divisors (1132380).

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

613728 is a wasteful number, since it uses less digits than its factorization.

613728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2136 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 613728 is about 783.4079397096. The cubic root of 613728 is about 84.9816800195.

The spelling of 613728 in words is "six hundred thirteen thousand, seven hundred twenty-eight".