613416 has 32 divisors (see below), whose sum is σ = 1562400. Its totient is φ = 200640.

The previous prime is 613381. The next prime is 613421. The reversal of 613416 is 614316.

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

It is a junction number, because it is equal to n+sod(n) for n = 613392 and 613401.

It is an unprimeable number.

613416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2⁶¹³⁴¹⁶ is an apocalyptic number.

613416 is the 419-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781200).

613416 is an abundant number, since it is smaller than the sum of its proper divisors (948984).

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

613416 is a wasteful number, since it uses less digits than its factorization.

613416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 613416 is about 783.2087844247. The cubic root of 613416 is about 84.9672769080.

Subtracting 613416 from its reverse (614316), we obtain a square (900 = 30²).

The spelling of 613416 in words is "six hundred thirteen thousand, four hundred sixteen".