613200000 has 384 divisors, whose sum is σ = 2358599040. Its totient is φ = 138240000.

The previous prime is 613199989. The next prime is 613200019. The reversal of 613200000 is 2316.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8399964 + ... + 8400036.

It is an arithmetic number, because the mean of its divisors is an integer number (6142185).

Almost surely, 2^613200000 is an apocalyptic number.

613200000 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 613200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179299520).

613200000 is an abundant number, since it is smaller than the sum of its proper divisors (1745399040).

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

613200000 is an frugal number, since it uses more digits than its factorization.

613200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 613200000 is about 24762.8754388500. The cubic root of 613200000 is about 849.5730266191.

Adding to 613200000 its reverse (2316), we get a palindrome (613202316).

The spelling of 613200000 in words is "six hundred thirteen million, two hundred thousand".