613480 has 48 divisors (see below), whose sum is σ = 1610820. Its totient is φ = 209664.

The previous prime is 613471. The next prime is 613493. The reversal of 613480 is 84316.

613480 = T₃₅ + T₃₆ + ... + T₁₅₄.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 103684 = 714^2 + 322^2 .

It is an unprimeable number.

613480 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 11 ways as a sum of consecutive naturals, for example, 1804 + ... + 2116.

2⁶¹³⁴⁸⁰ is an apocalyptic number.

613480 is the 392-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805410).

613480 is an abundant number, since it is smaller than the sum of its proper divisors (997340).

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

613480 is a wasteful number, since it uses less digits than its factorization.

613480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

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

The square root of 613480 is about 783.2496409192. The cubic root of 613480 is about 84.9702317905.

Adding to 613480 its reverse (84316), we get a palindrome (697796).

The spelling of 613480 in words is "six hundred thirteen thousand, four hundred eighty".