613408 has 24 divisors (see below), whose sum is σ = 1251180. Its totient is φ = 295680.

The previous prime is 613381. The next prime is 613421. The reversal of 613408 is 804316.

It can be written as a sum of positive squares in 2 ways, for example, as 595984 + 17424 = 772^2 + 132^2 .

It is a super-3 number, since 3×613408³ = 692419933353639936, which contains 333 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 598 + ... + 1258.

2⁶¹³⁴⁰⁸ 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 613408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625590).

613408 is an abundant number, since it is smaller than the sum of its proper divisors (637772).

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

613408 is a wasteful number, since it uses less digits than its factorization.

613408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 613408 is about 783.2036772130. The cubic root of 613408 is about 84.9669075332.

The spelling of 613408 in words is "six hundred thirteen thousand, four hundred eight".