613485600 has 432 divisors, whose sum is σ = 2504964672. Its totient is φ = 126996480.

The previous prime is 613485581. The next prime is 613485637. The reversal of 613485600 is 6584316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11575174 + ... + 11575226.

Almost surely, 2^613485600 is an apocalyptic number.

613485600 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 613485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252482336).

613485600 is an abundant number, since it is smaller than the sum of its proper divisors (1891479072).

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

613485600 is a wasteful number, since it uses less digits than its factorization.

613485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 613485600 is about 24768.6414645616. The cubic root of 613485600 is about 849.7049033294.

The spelling of 613485600 in words is "six hundred thirteen million, four hundred eighty-five thousand, six hundred".