613057600 has 63 divisors (see below), whose sum is σ = 1510945797. Its totient is φ = 244826880.

The previous prime is 613057597. The next prime is 613057619. The reversal of 613057600 is 6750316.

The square root of 613057600 is 24760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 220700736 + 392356864 = 14856^2 + 19808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 990091 + ... + 990709.

Almost surely, 2^613057600 is an apocalyptic number.

613057600 is the 24760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613057600

613057600 is an abundant number, since it is smaller than the sum of its proper divisors (897888197).

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

613057600 is an frugal number, since it uses more digits than its factorization.

613057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The cubic root of 613057600 is about 849.5072576666.

The spelling of 613057600 in words is "six hundred thirteen million, fifty-seven thousand, six hundred".