613800000 has 504 divisors, whose sum is σ = 2476341504. Its totient is φ = 144000000.

The previous prime is 613799947. The next prime is 613800001. The reversal of 613800000 is 8316.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613800001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 19799985 + ... + 19800015.

It is an arithmetic number, because the mean of its divisors is an integer number (4913376).

Almost surely, 2^613800000 is an apocalyptic number.

613800000 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 613800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

613800000 is an abundant number, since it is smaller than the sum of its proper divisors (1862541504).

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

613800000 is a wasteful number, since it uses less digits than its factorization.

613800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

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

The square root of 613800000 is about 24774.9873864751. The cubic root of 613800000 is about 849.8500312121.

Adding to 613800000 its reverse (8316), we get a palindrome (613808316).

The spelling of 613800000 in words is "six hundred thirteen million, eight hundred thousand".