613057320 has 96 divisors (see below), whose sum is σ = 2025171720. Its totient is φ = 160796160.

The previous prime is 613057267. The next prime is 613057343. The reversal of 613057320 is 23750316.

It is a happy number.

613057320 is a `hidden beast` number, since 61 + 30 + 573 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 478821924 + 134235396 = 21882^2 + 11586^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8002 + ... + 35918.

Almost surely, 2^613057320 is an apocalyptic number.

613057320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012585860).

613057320 is an abundant number, since it is smaller than the sum of its proper divisors (1412114400).

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

613057320 is a wasteful number, since it uses less digits than its factorization.

613057320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27995 (or 27988 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 613057320 is about 24759.9943457183. The cubic root of 613057320 is about 849.5071283356.

The spelling of 613057320 in words is "six hundred thirteen million, fifty-seven thousand, three hundred twenty".