613318680 has 192 divisors, whose sum is σ = 2221128000. Its totient is φ = 145732608.

The previous prime is 613318649. The next prime is 613318691. The reversal of 613318680 is 86813316.

613318680 is a `hidden beast` number, since 613 + 31 + 8 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133461 + ... + 137979.

It is an arithmetic number, because the mean of its divisors is an integer number (11568375).

Almost surely, 2^613318680 is an apocalyptic number.

613318680 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 613318680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110564000).

613318680 is an abundant number, since it is smaller than the sum of its proper divisors (1607809320).

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

613318680 is a wasteful number, since it uses less digits than its factorization.

613318680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 613318680 is about 24765.2716520534. The cubic root of 613318680 is about 849.6278324588.

The spelling of 613318680 in words is "six hundred thirteen million, three hundred eighteen thousand, six hundred eighty".