613760 has 64 divisors (see below), whose sum is σ = 1689120. Its totient is φ = 208896.

The previous prime is 613759. The next prime is 613763. The reversal of 613760 is 67316.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613763) 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, 4412 + ... + 4548.

2⁶¹³⁷⁶⁰ 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 613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844560).

613760 is an abundant number, since it is smaller than the sum of its proper divisors (1075360).

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

613760 is a wasteful number, since it uses less digits than its factorization.

613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 613760 is about 783.4283630301. The cubic root of 613760 is about 84.9831569857.

The spelling of 613760 in words is "six hundred thirteen thousand, seven hundred sixty".