613324800 has 432 divisors, whose sum is σ = 2416017240. Its totient is φ = 148684800.

The previous prime is 613324763. The next prime is 613324819. The reversal of 613324800 is 8423316.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

613324800 is a `hidden beast` number, since 613 + 3 + 2 + 48 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55756795 + ... + 55756805.

Almost surely, 2^613324800 is an apocalyptic number.

613324800 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 613324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208008620).

613324800 is an abundant number, since it is smaller than the sum of its proper divisors (1802692440).

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

613324800 is a wasteful number, since it uses less digits than its factorization.

613324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 613324800 is about 24765.3952118677. The cubic root of 613324800 is about 849.6306584530.

The spelling of 613324800 in words is "six hundred thirteen million, three hundred twenty-four thousand, eight hundred".