613643520 has 288 divisors, whose sum is σ = 2304062208. Its totient is φ = 136249344.

The previous prime is 613643507. The next prime is 613643531. The reversal of 613643520 is 25346316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994252 + ... + 994868.

It is an arithmetic number, because the mean of its divisors is an integer number (8000216).

Almost surely, 2^613643520 is an apocalyptic number.

613643520 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 613643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152031104).

613643520 is an abundant number, since it is smaller than the sum of its proper divisors (1690418688).

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

613643520 is a wasteful number, since it uses less digits than its factorization.

613643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 613643520 is about 24771.8291613680. The cubic root of 613643520 is about 849.7778058209. Note that the first 3 decimals are identical.

Adding to 613643520 its reverse (25346316), we get a palindrome (638989836).

The spelling of 613643520 in words is "six hundred thirteen million, six hundred forty-three thousand, five hundred twenty".