613008 has 100 divisors (see below), whose sum is σ = 1980528. Its totient is φ = 181440.

The previous prime is 613007. The next prime is 613009. The reversal of 613008 is 800316.

It is an interprime number because it is at equal distance from previous prime (613007) and next prime (613009).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (613007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14235 + ... + 14277.

2⁶¹³⁰⁰⁸ 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 613008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990264).

613008 is an abundant number, since it is smaller than the sum of its proper divisors (1367520).

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

613008 is a wasteful number, since it uses less digits than its factorization.

613008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 613008 is about 782.9482741535. The cubic root of 613008 is about 84.9484346988.

The spelling of 613008 in words is "six hundred thirteen thousand, eight".