613248768 has 108 divisors (see below), whose sum is σ = 1928967768. Its totient is φ = 185825280.

The previous prime is 613248733. The next prime is 613248787. The reversal of 613248768 is 867842316.

613248768 is a `hidden beast` number, since 613 + 24 + 8 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13246 + ... + 37442.

Almost surely, 2^613248768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964483884).

613248768 is an abundant number, since it is smaller than the sum of its proper divisors (1315719000).

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

613248768 is a wasteful number, since it uses less digits than its factorization.

613248768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24230 (or 24213 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 613248768 is about 24763.8601191333. The cubic root of 613248768 is about 849.5955482972.

The spelling of 613248768 in words is "six hundred thirteen million, two hundred forty-eight thousand, seven hundred sixty-eight".