613803840 has 224 divisors, whose sum is σ = 2119944960. Its totient is φ = 149569536.

The previous prime is 613803833. The next prime is 613803847. The reversal of 613803840 is 48308316.

It is an interprime number because it is at equal distance from previous prime (613803833) and next prime (613803847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613803847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709581 + ... + 1709939.

It is an arithmetic number, because the mean of its divisors is an integer number (9464040).

Almost surely, 2^613803840 is an apocalyptic number.

613803840 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 613803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059972480).

613803840 is an abundant number, since it is smaller than the sum of its proper divisors (1506141120).

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

613803840 is a wasteful number, since it uses less digits than its factorization.

613803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 613803840 is about 24775.0648838706. The cubic root of 613803840 is about 849.8518034600.

The spelling of 613803840 in words is "six hundred thirteen million, eight hundred three thousand, eight hundred forty".